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Simplifying -21 + 5m = 8(2m + 7) Reorder the terms: -21 + 5m = 8(7 + 2m) -21 + 5m = (7 * 8 + 2m * 8) -21 + 5m = (56 + 16m) Solving -21 + 5m = 56 + 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. -21 + 5m + -16m = 56 + 16m + -16m Combine like terms: 5m + -16m = -11m -21 + -11m = 56 + 16m + -16m Combine like terms: 16m + -16m = 0 -21 + -11m = 56 + 0 -21 + -11m = 56 Add '21' to each side of the equation. -21 + 21 + -11m = 56 + 21 Combine like terms: -21 + 21 = 0 0 + -11m = 56 + 21 -11m = 56 + 21 Combine like terms: 56 + 21 = 77 -11m = 77 Divide each side by '-11'. m = -7 Simplifying m = -7
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