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Simplifying -16 = -8(6 + -7m) + 6(2m + -6) -16 = (6 * -8 + -7m * -8) + 6(2m + -6) -16 = (-48 + 56m) + 6(2m + -6) Reorder the terms: -16 = -48 + 56m + 6(-6 + 2m) -16 = -48 + 56m + (-6 * 6 + 2m * 6) -16 = -48 + 56m + (-36 + 12m) Reorder the terms: -16 = -48 + -36 + 56m + 12m Combine like terms: -48 + -36 = -84 -16 = -84 + 56m + 12m Combine like terms: 56m + 12m = 68m -16 = -84 + 68m Solving -16 = -84 + 68m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-68m' to each side of the equation. -16 + -68m = -84 + 68m + -68m Combine like terms: 68m + -68m = 0 -16 + -68m = -84 + 0 -16 + -68m = -84 Add '16' to each side of the equation. -16 + 16 + -68m = -84 + 16 Combine like terms: -16 + 16 = 0 0 + -68m = -84 + 16 -68m = -84 + 16 Combine like terms: -84 + 16 = -68 -68m = -68 Divide each side by '-68'. m = 1 Simplifying m = 1
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