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Simplifying -7(m + 6) = -37 + -8m Reorder the terms: -7(6 + m) = -37 + -8m (6 * -7 + m * -7) = -37 + -8m (-42 + -7m) = -37 + -8m Solving -42 + -7m = -37 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -42 + -7m + 8m = -37 + -8m + 8m Combine like terms: -7m + 8m = 1m -42 + 1m = -37 + -8m + 8m Combine like terms: -8m + 8m = 0 -42 + 1m = -37 + 0 -42 + 1m = -37 Add '42' to each side of the equation. -42 + 42 + 1m = -37 + 42 Combine like terms: -42 + 42 = 0 0 + 1m = -37 + 42 1m = -37 + 42 Combine like terms: -37 + 42 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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