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Simplifying 7(3m + 2) + -5(2m + 3) = 0 Reorder the terms: 7(2 + 3m) + -5(2m + 3) = 0 (2 * 7 + 3m * 7) + -5(2m + 3) = 0 (14 + 21m) + -5(2m + 3) = 0 Reorder the terms: 14 + 21m + -5(3 + 2m) = 0 14 + 21m + (3 * -5 + 2m * -5) = 0 14 + 21m + (-15 + -10m) = 0 Reorder the terms: 14 + -15 + 21m + -10m = 0 Combine like terms: 14 + -15 = -1 -1 + 21m + -10m = 0 Combine like terms: 21m + -10m = 11m -1 + 11m = 0 Solving -1 + 11m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11m = 0 + 1 11m = 0 + 1 Combine like terms: 0 + 1 = 1 11m = 1 Divide each side by '11'. m = 0.09090909091 Simplifying m = 0.09090909091
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