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Simplifying 162 = -5(-7 + -4m) + 7 162 = (-7 * -5 + -4m * -5) + 7 162 = (35 + 20m) + 7 Reorder the terms: 162 = 35 + 7 + 20m Combine like terms: 35 + 7 = 42 162 = 42 + 20m Solving 162 = 42 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 162 + -20m = 42 + 20m + -20m Combine like terms: 20m + -20m = 0 162 + -20m = 42 + 0 162 + -20m = 42 Add '-162' to each side of the equation. 162 + -162 + -20m = 42 + -162 Combine like terms: 162 + -162 = 0 0 + -20m = 42 + -162 -20m = 42 + -162 Combine like terms: 42 + -162 = -120 -20m = -120 Divide each side by '-20'. m = 6 Simplifying m = 6
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