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Simplifying -4m + -7 = 3m + -42 Reorder the terms: -7 + -4m = 3m + -42 Reorder the terms: -7 + -4m = -42 + 3m Solving -7 + -4m = -42 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -7 + -4m + -3m = -42 + 3m + -3m Combine like terms: -4m + -3m = -7m -7 + -7m = -42 + 3m + -3m Combine like terms: 3m + -3m = 0 -7 + -7m = -42 + 0 -7 + -7m = -42 Add '7' to each side of the equation. -7 + 7 + -7m = -42 + 7 Combine like terms: -7 + 7 = 0 0 + -7m = -42 + 7 -7m = -42 + 7 Combine like terms: -42 + 7 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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