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Simplifying 6(5m + -2) = -7m + -3(7m + 4) Reorder the terms: 6(-2 + 5m) = -7m + -3(7m + 4) (-2 * 6 + 5m * 6) = -7m + -3(7m + 4) (-12 + 30m) = -7m + -3(7m + 4) Reorder the terms: -12 + 30m = -7m + -3(4 + 7m) -12 + 30m = -7m + (4 * -3 + 7m * -3) -12 + 30m = -7m + (-12 + -21m) Reorder the terms: -12 + 30m = -12 + -7m + -21m Combine like terms: -7m + -21m = -28m -12 + 30m = -12 + -28m Add '12' to each side of the equation. -12 + 12 + 30m = -12 + 12 + -28m Combine like terms: -12 + 12 = 0 0 + 30m = -12 + 12 + -28m 30m = -12 + 12 + -28m Combine like terms: -12 + 12 = 0 30m = 0 + -28m 30m = -28m Solving 30m = -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. 30m + 28m = -28m + 28m Combine like terms: 30m + 28m = 58m 58m = -28m + 28m Combine like terms: -28m + 28m = 0 58m = 0 Divide each side by '58'. m = 0 Simplifying m = 0
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