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Simplifying 3(6m + -7v) + 8(39v + 13m) = 0 (6m * 3 + -7v * 3) + 8(39v + 13m) = 0 (18m + -21v) + 8(39v + 13m) = 0 Reorder the terms: 18m + -21v + 8(13m + 39v) = 0 18m + -21v + (13m * 8 + 39v * 8) = 0 18m + -21v + (104m + 312v) = 0 Reorder the terms: 18m + 104m + -21v + 312v = 0 Combine like terms: 18m + 104m = 122m 122m + -21v + 312v = 0 Combine like terms: -21v + 312v = 291v 122m + 291v = 0 Solving 122m + 291v = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-291v' to each side of the equation. 122m + 291v + -291v = 0 + -291v Combine like terms: 291v + -291v = 0 122m + 0 = 0 + -291v 122m = 0 + -291v Remove the zero: 122m = -291v Divide each side by '122'. m = -2.385245902v Simplifying m = -2.385245902v
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