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Simplifying -214 = -4(1 + 8m) + -3m -214 = (1 * -4 + 8m * -4) + -3m -214 = (-4 + -32m) + -3m Combine like terms: -32m + -3m = -35m -214 = -4 + -35m Solving -214 = -4 + -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. -214 + 35m = -4 + -35m + 35m Combine like terms: -35m + 35m = 0 -214 + 35m = -4 + 0 -214 + 35m = -4 Add '214' to each side of the equation. -214 + 214 + 35m = -4 + 214 Combine like terms: -214 + 214 = 0 0 + 35m = -4 + 214 35m = -4 + 214 Combine like terms: -4 + 214 = 210 35m = 210 Divide each side by '35'. m = 6 Simplifying m = 6
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