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