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Simplifying 7(M + -3) + -5 = 20 + -2(M + -13) Reorder the terms: 7(-3 + M) + -5 = 20 + -2(M + -13) (-3 * 7 + M * 7) + -5 = 20 + -2(M + -13) (-21 + 7M) + -5 = 20 + -2(M + -13) Reorder the terms: -21 + -5 + 7M = 20 + -2(M + -13) Combine like terms: -21 + -5 = -26 -26 + 7M = 20 + -2(M + -13) Reorder the terms: -26 + 7M = 20 + -2(-13 + M) -26 + 7M = 20 + (-13 * -2 + M * -2) -26 + 7M = 20 + (26 + -2M) Combine like terms: 20 + 26 = 46 -26 + 7M = 46 + -2M Solving -26 + 7M = 46 + -2M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '2M' to each side of the equation. -26 + 7M + 2M = 46 + -2M + 2M Combine like terms: 7M + 2M = 9M -26 + 9M = 46 + -2M + 2M Combine like terms: -2M + 2M = 0 -26 + 9M = 46 + 0 -26 + 9M = 46 Add '26' to each side of the equation. -26 + 26 + 9M = 46 + 26 Combine like terms: -26 + 26 = 0 0 + 9M = 46 + 26 9M = 46 + 26 Combine like terms: 46 + 26 = 72 9M = 72 Divide each side by '9'. M = 8 Simplifying M = 8
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