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Simplifying -3(m + 6) + -4(1 + -8m) = 4m + 3m Reorder the terms: -3(6 + m) + -4(1 + -8m) = 4m + 3m (6 * -3 + m * -3) + -4(1 + -8m) = 4m + 3m (-18 + -3m) + -4(1 + -8m) = 4m + 3m -18 + -3m + (1 * -4 + -8m * -4) = 4m + 3m -18 + -3m + (-4 + 32m) = 4m + 3m Reorder the terms: -18 + -4 + -3m + 32m = 4m + 3m Combine like terms: -18 + -4 = -22 -22 + -3m + 32m = 4m + 3m Combine like terms: -3m + 32m = 29m -22 + 29m = 4m + 3m Combine like terms: 4m + 3m = 7m -22 + 29m = 7m Solving -22 + 29m = 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -22 + 29m + -7m = 7m + -7m Combine like terms: 29m + -7m = 22m -22 + 22m = 7m + -7m Combine like terms: 7m + -7m = 0 -22 + 22m = 0 Add '22' to each side of the equation. -22 + 22 + 22m = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 22m = 0 + 22 22m = 0 + 22 Combine like terms: 0 + 22 = 22 22m = 22 Divide each side by '22'. m = 1 Simplifying m = 1
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