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Simplifying 8(-5m + -1) + (2 + 6v) * 2 = 0 Reorder the terms: 8(-1 + -5m) + (2 + 6v) * 2 = 0 (-1 * 8 + -5m * 8) + (2 + 6v) * 2 = 0 (-8 + -40m) + (2 + 6v) * 2 = 0 Reorder the terms for easier multiplication: -8 + -40m + 2(2 + 6v) = 0 -8 + -40m + (2 * 2 + 6v * 2) = 0 -8 + -40m + (4 + 12v) = 0 Reorder the terms: -8 + 4 + -40m + 12v = 0 Combine like terms: -8 + 4 = -4 -4 + -40m + 12v = 0 Solving -4 + -40m + 12v = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -40m + 4 + 12v = 0 + 4 Reorder the terms: -4 + 4 + -40m + 12v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -40m + 12v = 0 + 4 -40m + 12v = 0 + 4 Combine like terms: 0 + 4 = 4 -40m + 12v = 4 Add '-12v' to each side of the equation. -40m + 12v + -12v = 4 + -12v Combine like terms: 12v + -12v = 0 -40m + 0 = 4 + -12v -40m = 4 + -12v Divide each side by '-40'. m = -0.1 + 0.3v Simplifying m = -0.1 + 0.3v
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