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Simplifying -2 + 6(7m + -7) = 6m + -4(-1 + -7m) Reorder the terms: -2 + 6(-7 + 7m) = 6m + -4(-1 + -7m) -2 + (-7 * 6 + 7m * 6) = 6m + -4(-1 + -7m) -2 + (-42 + 42m) = 6m + -4(-1 + -7m) Combine like terms: -2 + -42 = -44 -44 + 42m = 6m + -4(-1 + -7m) -44 + 42m = 6m + (-1 * -4 + -7m * -4) -44 + 42m = 6m + (4 + 28m) Reorder the terms: -44 + 42m = 4 + 6m + 28m Combine like terms: 6m + 28m = 34m -44 + 42m = 4 + 34m Solving -44 + 42m = 4 + 34m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-34m' to each side of the equation. -44 + 42m + -34m = 4 + 34m + -34m Combine like terms: 42m + -34m = 8m -44 + 8m = 4 + 34m + -34m Combine like terms: 34m + -34m = 0 -44 + 8m = 4 + 0 -44 + 8m = 4 Add '44' to each side of the equation. -44 + 44 + 8m = 4 + 44 Combine like terms: -44 + 44 = 0 0 + 8m = 4 + 44 8m = 4 + 44 Combine like terms: 4 + 44 = 48 8m = 48 Divide each side by '8'. m = 6 Simplifying m = 6
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