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Simplifying 5(5 + -4m + -6m) + 6(7m + 5) = 7 Combine like terms: -4m + -6m = -10m 5(5 + -10m) + 6(7m + 5) = 7 (5 * 5 + -10m * 5) + 6(7m + 5) = 7 (25 + -50m) + 6(7m + 5) = 7 Reorder the terms: 25 + -50m + 6(5 + 7m) = 7 25 + -50m + (5 * 6 + 7m * 6) = 7 25 + -50m + (30 + 42m) = 7 Reorder the terms: 25 + 30 + -50m + 42m = 7 Combine like terms: 25 + 30 = 55 55 + -50m + 42m = 7 Combine like terms: -50m + 42m = -8m 55 + -8m = 7 Solving 55 + -8m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -8m = 7 + -55 Combine like terms: 55 + -55 = 0 0 + -8m = 7 + -55 -8m = 7 + -55 Combine like terms: 7 + -55 = -48 -8m = -48 Divide each side by '-8'. m = 6 Simplifying m = 6
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