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Simplifying 4(m + -6) + -1m(3 + 4) = 8m + -2 Reorder the terms: 4(-6 + m) + -1m(3 + 4) = 8m + -2 (-6 * 4 + m * 4) + -1m(3 + 4) = 8m + -2 (-24 + 4m) + -1m(3 + 4) = 8m + -2 Combine like terms: 3 + 4 = 7 -24 + 4m + -1m(7) = 8m + -2 Reorder the terms for easier multiplication: -24 + 4m + -1 * 7m = 8m + -2 Multiply -1 * 7 -24 + 4m + -7m = 8m + -2 Combine like terms: 4m + -7m = -3m -24 + -3m = 8m + -2 Reorder the terms: -24 + -3m = -2 + 8m Solving -24 + -3m = -2 + 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. -24 + -3m + -8m = -2 + 8m + -8m Combine like terms: -3m + -8m = -11m -24 + -11m = -2 + 8m + -8m Combine like terms: 8m + -8m = 0 -24 + -11m = -2 + 0 -24 + -11m = -2 Add '24' to each side of the equation. -24 + 24 + -11m = -2 + 24 Combine like terms: -24 + 24 = 0 0 + -11m = -2 + 24 -11m = -2 + 24 Combine like terms: -2 + 24 = 22 -11m = 22 Divide each side by '-11'. m = -2 Simplifying m = -2
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