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Simplifying 5(2M + -6) = 2(6M + -8) Reorder the terms: 5(-6 + 2M) = 2(6M + -8) (-6 * 5 + 2M * 5) = 2(6M + -8) (-30 + 10M) = 2(6M + -8) Reorder the terms: -30 + 10M = 2(-8 + 6M) -30 + 10M = (-8 * 2 + 6M * 2) -30 + 10M = (-16 + 12M) Solving -30 + 10M = -16 + 12M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-12M' to each side of the equation. -30 + 10M + -12M = -16 + 12M + -12M Combine like terms: 10M + -12M = -2M -30 + -2M = -16 + 12M + -12M Combine like terms: 12M + -12M = 0 -30 + -2M = -16 + 0 -30 + -2M = -16 Add '30' to each side of the equation. -30 + 30 + -2M = -16 + 30 Combine like terms: -30 + 30 = 0 0 + -2M = -16 + 30 -2M = -16 + 30 Combine like terms: -16 + 30 = 14 -2M = 14 Divide each side by '-2'. M = -7 Simplifying M = -7
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