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Simplifying -84 = -7(2m + 6) + 8m Reorder the terms: -84 = -7(6 + 2m) + 8m -84 = (6 * -7 + 2m * -7) + 8m -84 = (-42 + -14m) + 8m Combine like terms: -14m + 8m = -6m -84 = -42 + -6m Solving -84 = -42 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -84 + 6m = -42 + -6m + 6m Combine like terms: -6m + 6m = 0 -84 + 6m = -42 + 0 -84 + 6m = -42 Add '84' to each side of the equation. -84 + 84 + 6m = -42 + 84 Combine like terms: -84 + 84 = 0 0 + 6m = -42 + 84 6m = -42 + 84 Combine like terms: -42 + 84 = 42 6m = 42 Divide each side by '6'. m = 7 Simplifying m = 7
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