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Simplifying -14 + -3 = 8m + -7(3 + m) Combine like terms: -14 + -3 = -17 -17 = 8m + -7(3 + m) -17 = 8m + (3 * -7 + m * -7) -17 = 8m + (-21 + -7m) Reorder the terms: -17 = -21 + 8m + -7m Combine like terms: 8m + -7m = 1m -17 = -21 + 1m Solving -17 = -21 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -17 + -1m = -21 + 1m + -1m Combine like terms: 1m + -1m = 0 -17 + -1m = -21 + 0 -17 + -1m = -21 Add '17' to each side of the equation. -17 + 17 + -1m = -21 + 17 Combine like terms: -17 + 17 = 0 0 + -1m = -21 + 17 -1m = -21 + 17 Combine like terms: -21 + 17 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4
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