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Simplifying -189 = 7(1 + 4m) -189 = (1 * 7 + 4m * 7) -189 = (7 + 28m) Solving -189 = 7 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. -189 + -28m = 7 + 28m + -28m Combine like terms: 28m + -28m = 0 -189 + -28m = 7 + 0 -189 + -28m = 7 Add '189' to each side of the equation. -189 + 189 + -28m = 7 + 189 Combine like terms: -189 + 189 = 0 0 + -28m = 7 + 189 -28m = 7 + 189 Combine like terms: 7 + 189 = 196 -28m = 196 Divide each side by '-28'. m = -7 Simplifying m = -7
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