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Simplifying 7(-1m + -16) = -3m + 17m + 14 Reorder the terms: 7(-16 + -1m) = -3m + 17m + 14 (-16 * 7 + -1m * 7) = -3m + 17m + 14 (-112 + -7m) = -3m + 17m + 14 Reorder the terms: -112 + -7m = 14 + -3m + 17m Combine like terms: -3m + 17m = 14m -112 + -7m = 14 + 14m Solving -112 + -7m = 14 + 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. -112 + -7m + -14m = 14 + 14m + -14m Combine like terms: -7m + -14m = -21m -112 + -21m = 14 + 14m + -14m Combine like terms: 14m + -14m = 0 -112 + -21m = 14 + 0 -112 + -21m = 14 Add '112' to each side of the equation. -112 + 112 + -21m = 14 + 112 Combine like terms: -112 + 112 = 0 0 + -21m = 14 + 112 -21m = 14 + 112 Combine like terms: 14 + 112 = 126 -21m = 126 Divide each side by '-21'. m = -6 Simplifying m = -6
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