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Simplifying -22 = 8(1 + 3m) + -14m -22 = (1 * 8 + 3m * 8) + -14m -22 = (8 + 24m) + -14m Combine like terms: 24m + -14m = 10m -22 = 8 + 10m Solving -22 = 8 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -22 + -10m = 8 + 10m + -10m Combine like terms: 10m + -10m = 0 -22 + -10m = 8 + 0 -22 + -10m = 8 Add '22' to each side of the equation. -22 + 22 + -10m = 8 + 22 Combine like terms: -22 + 22 = 0 0 + -10m = 8 + 22 -10m = 8 + 22 Combine like terms: 8 + 22 = 30 -10m = 30 Divide each side by '-10'. m = -3 Simplifying m = -3
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