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Simplifying 8(m + -2) + -7(m + 5) = -51 Reorder the terms: 8(-2 + m) + -7(m + 5) = -51 (-2 * 8 + m * 8) + -7(m + 5) = -51 (-16 + 8m) + -7(m + 5) = -51 Reorder the terms: -16 + 8m + -7(5 + m) = -51 -16 + 8m + (5 * -7 + m * -7) = -51 -16 + 8m + (-35 + -7m) = -51 Reorder the terms: -16 + -35 + 8m + -7m = -51 Combine like terms: -16 + -35 = -51 -51 + 8m + -7m = -51 Combine like terms: 8m + -7m = 1m -51 + 1m = -51 Add '51' to each side of the equation. -51 + 51 + 1m = -51 + 51 Combine like terms: -51 + 51 = 0 0 + 1m = -51 + 51 1m = -51 + 51 Combine like terms: -51 + 51 = 0 1m = 0 Solving 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '1'. m = 0 Simplifying m = 0
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