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Simplifying 5(6m + -7) = 17 + 4m Reorder the terms: 5(-7 + 6m) = 17 + 4m (-7 * 5 + 6m * 5) = 17 + 4m (-35 + 30m) = 17 + 4m Solving -35 + 30m = 17 + 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 + 30m + -4m = 17 + 4m + -4m Combine like terms: 30m + -4m = 26m -35 + 26m = 17 + 4m + -4m Combine like terms: 4m + -4m = 0 -35 + 26m = 17 + 0 -35 + 26m = 17 Add '35' to each side of the equation. -35 + 35 + 26m = 17 + 35 Combine like terms: -35 + 35 = 0 0 + 26m = 17 + 35 26m = 17 + 35 Combine like terms: 17 + 35 = 52 26m = 52 Divide each side by '26'. m = 2 Simplifying m = 2
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