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Simplifying 3(m + -4) + 6M + 10 = 0 Reorder the terms: 3(-4 + m) + 6M + 10 = 0 (-4 * 3 + m * 3) + 6M + 10 = 0 (-12 + 3m) + 6M + 10 = 0 Reorder the terms: -12 + 10 + 6M + 3m = 0 Combine like terms: -12 + 10 = -2 -2 + 6M + 3m = 0 Solving -2 + 6M + 3m = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6M + 2 + 3m = 0 + 2 Reorder the terms: -2 + 2 + 6M + 3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6M + 3m = 0 + 2 6M + 3m = 0 + 2 Combine like terms: 0 + 2 = 2 6M + 3m = 2 Add '-3m' to each side of the equation. 6M + 3m + -3m = 2 + -3m Combine like terms: 3m + -3m = 0 6M + 0 = 2 + -3m 6M = 2 + -3m Divide each side by '6'. M = 0.3333333333 + -0.5m Simplifying M = 0.3333333333 + -0.5m
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