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Simplifying 3(4M + -6) = 2(7M + -4) Reorder the terms: 3(-6 + 4M) = 2(7M + -4) (-6 * 3 + 4M * 3) = 2(7M + -4) (-18 + 12M) = 2(7M + -4) Reorder the terms: -18 + 12M = 2(-4 + 7M) -18 + 12M = (-4 * 2 + 7M * 2) -18 + 12M = (-8 + 14M) Solving -18 + 12M = -8 + 14M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-14M' to each side of the equation. -18 + 12M + -14M = -8 + 14M + -14M Combine like terms: 12M + -14M = -2M -18 + -2M = -8 + 14M + -14M Combine like terms: 14M + -14M = 0 -18 + -2M = -8 + 0 -18 + -2M = -8 Add '18' to each side of the equation. -18 + 18 + -2M = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -2M = -8 + 18 -2M = -8 + 18 Combine like terms: -8 + 18 = 10 -2M = 10 Divide each side by '-2'. M = -5 Simplifying M = -5
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