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Simplifying 114 = -6(1 + -4m) 114 = (1 * -6 + -4m * -6) 114 = (-6 + 24m) Solving 114 = -6 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 114 + -24m = -6 + 24m + -24m Combine like terms: 24m + -24m = 0 114 + -24m = -6 + 0 114 + -24m = -6 Add '-114' to each side of the equation. 114 + -114 + -24m = -6 + -114 Combine like terms: 114 + -114 = 0 0 + -24m = -6 + -114 -24m = -6 + -114 Combine like terms: -6 + -114 = -120 -24m = -120 Divide each side by '-24'. m = 5 Simplifying m = 5
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