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Simplifying 8m + -2 + -8 + 2m = -2(-2 + -3m) + -3(m + 7) Reorder the terms: -2 + -8 + 8m + 2m = -2(-2 + -3m) + -3(m + 7) Combine like terms: -2 + -8 = -10 -10 + 8m + 2m = -2(-2 + -3m) + -3(m + 7) Combine like terms: 8m + 2m = 10m -10 + 10m = -2(-2 + -3m) + -3(m + 7) -10 + 10m = (-2 * -2 + -3m * -2) + -3(m + 7) -10 + 10m = (4 + 6m) + -3(m + 7) Reorder the terms: -10 + 10m = 4 + 6m + -3(7 + m) -10 + 10m = 4 + 6m + (7 * -3 + m * -3) -10 + 10m = 4 + 6m + (-21 + -3m) Reorder the terms: -10 + 10m = 4 + -21 + 6m + -3m Combine like terms: 4 + -21 = -17 -10 + 10m = -17 + 6m + -3m Combine like terms: 6m + -3m = 3m -10 + 10m = -17 + 3m Solving -10 + 10m = -17 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -10 + 10m + -3m = -17 + 3m + -3m Combine like terms: 10m + -3m = 7m -10 + 7m = -17 + 3m + -3m Combine like terms: 3m + -3m = 0 -10 + 7m = -17 + 0 -10 + 7m = -17 Add '10' to each side of the equation. -10 + 10 + 7m = -17 + 10 Combine like terms: -10 + 10 = 0 0 + 7m = -17 + 10 7m = -17 + 10 Combine like terms: -17 + 10 = -7 7m = -7 Divide each side by '7'. m = -1 Simplifying m = -1
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