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Simplifying -109 = 7 + -4(1 + -4m) -109 = 7 + (1 * -4 + -4m * -4) -109 = 7 + (-4 + 16m) Combine like terms: 7 + -4 = 3 -109 = 3 + 16m Solving -109 = 3 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -109 + -16m = 3 + 16m + -16m Combine like terms: 16m + -16m = 0 -109 + -16m = 3 + 0 -109 + -16m = 3 Add '109' to each side of the equation. -109 + 109 + -16m = 3 + 109 Combine like terms: -109 + 109 = 0 0 + -16m = 3 + 109 -16m = 3 + 109 Combine like terms: 3 + 109 = 112 -16m = 112 Divide each side by '-16'. m = -7 Simplifying m = -7
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