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Simplifying -2m + -21 + -4(m + -3) = 4m + -1(8m + -5) + -7m + 6 Reorder the terms: -2m + -21 + -4(-3 + m) = 4m + -1(8m + -5) + -7m + 6 -2m + -21 + (-3 * -4 + m * -4) = 4m + -1(8m + -5) + -7m + 6 -2m + -21 + (12 + -4m) = 4m + -1(8m + -5) + -7m + 6 Reorder the terms: -21 + 12 + -2m + -4m = 4m + -1(8m + -5) + -7m + 6 Combine like terms: -21 + 12 = -9 -9 + -2m + -4m = 4m + -1(8m + -5) + -7m + 6 Combine like terms: -2m + -4m = -6m -9 + -6m = 4m + -1(8m + -5) + -7m + 6 Reorder the terms: -9 + -6m = 4m + -1(-5 + 8m) + -7m + 6 -9 + -6m = 4m + (-5 * -1 + 8m * -1) + -7m + 6 -9 + -6m = 4m + (5 + -8m) + -7m + 6 Reorder the terms: -9 + -6m = 5 + 6 + 4m + -8m + -7m Combine like terms: 5 + 6 = 11 -9 + -6m = 11 + 4m + -8m + -7m Combine like terms: 4m + -8m = -4m -9 + -6m = 11 + -4m + -7m Combine like terms: -4m + -7m = -11m -9 + -6m = 11 + -11m Solving -9 + -6m = 11 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. -9 + -6m + 11m = 11 + -11m + 11m Combine like terms: -6m + 11m = 5m -9 + 5m = 11 + -11m + 11m Combine like terms: -11m + 11m = 0 -9 + 5m = 11 + 0 -9 + 5m = 11 Add '9' to each side of the equation. -9 + 9 + 5m = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 5m = 11 + 9 5m = 11 + 9 Combine like terms: 11 + 9 = 20 5m = 20 Divide each side by '5'. m = 4 Simplifying m = 4
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