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Simplifying 4(m + -6) + -3(m + 4) = 8m + -1 Reorder the terms: 4(-6 + m) + -3(m + 4) = 8m + -1 (-6 * 4 + m * 4) + -3(m + 4) = 8m + -1 (-24 + 4m) + -3(m + 4) = 8m + -1 Reorder the terms: -24 + 4m + -3(4 + m) = 8m + -1 -24 + 4m + (4 * -3 + m * -3) = 8m + -1 -24 + 4m + (-12 + -3m) = 8m + -1 Reorder the terms: -24 + -12 + 4m + -3m = 8m + -1 Combine like terms: -24 + -12 = -36 -36 + 4m + -3m = 8m + -1 Combine like terms: 4m + -3m = 1m -36 + 1m = 8m + -1 Reorder the terms: -36 + 1m = -1 + 8m Solving -36 + 1m = -1 + 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. -36 + 1m + -8m = -1 + 8m + -8m Combine like terms: 1m + -8m = -7m -36 + -7m = -1 + 8m + -8m Combine like terms: 8m + -8m = 0 -36 + -7m = -1 + 0 -36 + -7m = -1 Add '36' to each side of the equation. -36 + 36 + -7m = -1 + 36 Combine like terms: -36 + 36 = 0 0 + -7m = -1 + 36 -7m = -1 + 36 Combine like terms: -1 + 36 = 35 -7m = 35 Divide each side by '-7'. m = -5 Simplifying m = -5
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