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Simplifying 8(m + 7) + -3(7m + -7) = 0 Reorder the terms: 8(7 + m) + -3(7m + -7) = 0 (7 * 8 + m * 8) + -3(7m + -7) = 0 (56 + 8m) + -3(7m + -7) = 0 Reorder the terms: 56 + 8m + -3(-7 + 7m) = 0 56 + 8m + (-7 * -3 + 7m * -3) = 0 56 + 8m + (21 + -21m) = 0 Reorder the terms: 56 + 21 + 8m + -21m = 0 Combine like terms: 56 + 21 = 77 77 + 8m + -21m = 0 Combine like terms: 8m + -21m = -13m 77 + -13m = 0 Solving 77 + -13m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -13m = 0 + -77 Combine like terms: 77 + -77 = 0 0 + -13m = 0 + -77 -13m = 0 + -77 Combine like terms: 0 + -77 = -77 -13m = -77 Divide each side by '-13'. m = 5.923076923 Simplifying m = 5.923076923
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