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Simplifying -7(-3m + 5) = 4m + 16 Reorder the terms: -7(5 + -3m) = 4m + 16 (5 * -7 + -3m * -7) = 4m + 16 (-35 + 21m) = 4m + 16 Reorder the terms: -35 + 21m = 16 + 4m Solving -35 + 21m = 16 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -35 + 21m + -4m = 16 + 4m + -4m Combine like terms: 21m + -4m = 17m -35 + 17m = 16 + 4m + -4m Combine like terms: 4m + -4m = 0 -35 + 17m = 16 + 0 -35 + 17m = 16 Add '35' to each side of the equation. -35 + 35 + 17m = 16 + 35 Combine like terms: -35 + 35 = 0 0 + 17m = 16 + 35 17m = 16 + 35 Combine like terms: 16 + 35 = 51 17m = 51 Divide each side by '17'. m = 3 Simplifying m = 3
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