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Simplifying -84 = -7(-2m + 6) Reorder the terms: -84 = -7(6 + -2m) -84 = (6 * -7 + -2m * -7) -84 = (-42 + 14m) Solving -84 = -42 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. -84 + -14m = -42 + 14m + -14m Combine like terms: 14m + -14m = 0 -84 + -14m = -42 + 0 -84 + -14m = -42 Add '84' to each side of the equation. -84 + 84 + -14m = -42 + 84 Combine like terms: -84 + 84 = 0 0 + -14m = -42 + 84 -14m = -42 + 84 Combine like terms: -42 + 84 = 42 -14m = 42 Divide each side by '-14'. m = -3 Simplifying m = -3
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