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Simplifying -7(m + -6) = 10 + -3m Reorder the terms: -7(-6 + m) = 10 + -3m (-6 * -7 + m * -7) = 10 + -3m (42 + -7m) = 10 + -3m Solving 42 + -7m = 10 + -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. 42 + -7m + 3m = 10 + -3m + 3m Combine like terms: -7m + 3m = -4m 42 + -4m = 10 + -3m + 3m Combine like terms: -3m + 3m = 0 42 + -4m = 10 + 0 42 + -4m = 10 Add '-42' to each side of the equation. 42 + -42 + -4m = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -4m = 10 + -42 -4m = 10 + -42 Combine like terms: 10 + -42 = -32 -4m = -32 Divide each side by '-4'. m = 8 Simplifying m = 8
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