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Simplifying 2(M + 4) = 6(M + -2) Reorder the terms: 2(4 + M) = 6(M + -2) (4 * 2 + M * 2) = 6(M + -2) (8 + 2M) = 6(M + -2) Reorder the terms: 8 + 2M = 6(-2 + M) 8 + 2M = (-2 * 6 + M * 6) 8 + 2M = (-12 + 6M) Solving 8 + 2M = -12 + 6M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-6M' to each side of the equation. 8 + 2M + -6M = -12 + 6M + -6M Combine like terms: 2M + -6M = -4M 8 + -4M = -12 + 6M + -6M Combine like terms: 6M + -6M = 0 8 + -4M = -12 + 0 8 + -4M = -12 Add '-8' to each side of the equation. 8 + -8 + -4M = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4M = -12 + -8 -4M = -12 + -8 Combine like terms: -12 + -8 = -20 -4M = -20 Divide each side by '-4'. M = 5 Simplifying M = 5
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