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Simplifying 4M + -2(M + 6) = 5(3M + -2) + 6 Reorder the terms: 4M + -2(6 + M) = 5(3M + -2) + 6 4M + (6 * -2 + M * -2) = 5(3M + -2) + 6 4M + (-12 + -2M) = 5(3M + -2) + 6 Reorder the terms: -12 + 4M + -2M = 5(3M + -2) + 6 Combine like terms: 4M + -2M = 2M -12 + 2M = 5(3M + -2) + 6 Reorder the terms: -12 + 2M = 5(-2 + 3M) + 6 -12 + 2M = (-2 * 5 + 3M * 5) + 6 -12 + 2M = (-10 + 15M) + 6 Reorder the terms: -12 + 2M = -10 + 6 + 15M Combine like terms: -10 + 6 = -4 -12 + 2M = -4 + 15M Solving -12 + 2M = -4 + 15M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-15M' to each side of the equation. -12 + 2M + -15M = -4 + 15M + -15M Combine like terms: 2M + -15M = -13M -12 + -13M = -4 + 15M + -15M Combine like terms: 15M + -15M = 0 -12 + -13M = -4 + 0 -12 + -13M = -4 Add '12' to each side of the equation. -12 + 12 + -13M = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -13M = -4 + 12 -13M = -4 + 12 Combine like terms: -4 + 12 = 8 -13M = 8 Divide each side by '-13'. M = -0.6153846154 Simplifying M = -0.6153846154
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