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Simplifying -20m + -7(-6m + 19) = -15 + 16m + -16 Reorder the terms: -20m + -7(19 + -6m) = -15 + 16m + -16 -20m + (19 * -7 + -6m * -7) = -15 + 16m + -16 -20m + (-133 + 42m) = -15 + 16m + -16 Reorder the terms: -133 + -20m + 42m = -15 + 16m + -16 Combine like terms: -20m + 42m = 22m -133 + 22m = -15 + 16m + -16 Reorder the terms: -133 + 22m = -15 + -16 + 16m Combine like terms: -15 + -16 = -31 -133 + 22m = -31 + 16m Solving -133 + 22m = -31 + 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. -133 + 22m + -16m = -31 + 16m + -16m Combine like terms: 22m + -16m = 6m -133 + 6m = -31 + 16m + -16m Combine like terms: 16m + -16m = 0 -133 + 6m = -31 + 0 -133 + 6m = -31 Add '133' to each side of the equation. -133 + 133 + 6m = -31 + 133 Combine like terms: -133 + 133 = 0 0 + 6m = -31 + 133 6m = -31 + 133 Combine like terms: -31 + 133 = 102 6m = 102 Divide each side by '6'. m = 17 Simplifying m = 17
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