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Simplifying 4 + -3M = 2M + 7(M + -8) Reorder the terms: 4 + -3M = 2M + 7(-8 + M) 4 + -3M = 2M + (-8 * 7 + M * 7) 4 + -3M = 2M + (-56 + 7M) Reorder the terms: 4 + -3M = -56 + 2M + 7M Combine like terms: 2M + 7M = 9M 4 + -3M = -56 + 9M Solving 4 + -3M = -56 + 9M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-9M' to each side of the equation. 4 + -3M + -9M = -56 + 9M + -9M Combine like terms: -3M + -9M = -12M 4 + -12M = -56 + 9M + -9M Combine like terms: 9M + -9M = 0 4 + -12M = -56 + 0 4 + -12M = -56 Add '-4' to each side of the equation. 4 + -4 + -12M = -56 + -4 Combine like terms: 4 + -4 = 0 0 + -12M = -56 + -4 -12M = -56 + -4 Combine like terms: -56 + -4 = -60 -12M = -60 Divide each side by '-12'. M = 5 Simplifying M = 5
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