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12 Solve MultiStep Equations Objective: Solve for an unknown value by performing math operations to solve for the given variable. Steps to solve equations: 1. Simplify the equation on each side of the = sign (if needed this includes performing the distributive property) 2. Get all variables on 1 side of the equal sign (do this by adding or subtracting one of the variables across the =) 3. "Undo" any addition or subtraction on the side of the equation with the variable 4. "Undo" any division involving the variable 5. "Undo" any multiplication involving the variable *** Remember there are always exceptions to these rules and their order*** Examples: a.) 3y + 2 = 11 b.) 1/4 x 2 = 3 c.) 3x + 5x + 4 + 7 = 88 + x d.) 6x + 5 = 2 + 5x + 8 1 e.) 20y + 15 = 2 16y + 11 f.) 3x + 10.5 = 6.5 + 2.5x g.) 4(2a + 3) = 3(a 1) + 31 h.) ½ x 3 = 2 ¾ x 2 i.) ½(2 + x) = 3x + 4 32 j.) 0.4x 0.25 = 1.75 k.) 1/4 (a + 3) = 2 a l.) 3z + 5 + 2z = 12 + 4z 3