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Simplifying -6M + 23 + -5(M + -1) = 2M + -1(7M + -4) + -3M + 9 Reorder the terms: -6M + 23 + -5(-1 + M) = 2M + -1(7M + -4) + -3M + 9 -6M + 23 + (-1 * -5 + M * -5) = 2M + -1(7M + -4) + -3M + 9 -6M + 23 + (5 + -5M) = 2M + -1(7M + -4) + -3M + 9 Reorder the terms: 23 + 5 + -6M + -5M = 2M + -1(7M + -4) + -3M + 9 Combine like terms: 23 + 5 = 28 28 + -6M + -5M = 2M + -1(7M + -4) + -3M + 9 Combine like terms: -6M + -5M = -11M 28 + -11M = 2M + -1(7M + -4) + -3M + 9 Reorder the terms: 28 + -11M = 2M + -1(-4 + 7M) + -3M + 9 28 + -11M = 2M + (-4 * -1 + 7M * -1) + -3M + 9 28 + -11M = 2M + (4 + -7M) + -3M + 9 Reorder the terms: 28 + -11M = 4 + 9 + 2M + -7M + -3M Combine like terms: 4 + 9 = 13 28 + -11M = 13 + 2M + -7M + -3M Combine like terms: 2M + -7M = -5M 28 + -11M = 13 + -5M + -3M Combine like terms: -5M + -3M = -8M 28 + -11M = 13 + -8M Solving 28 + -11M = 13 + -8M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '8M' to each side of the equation. 28 + -11M + 8M = 13 + -8M + 8M Combine like terms: -11M + 8M = -3M 28 + -3M = 13 + -8M + 8M Combine like terms: -8M + 8M = 0 28 + -3M = 13 + 0 28 + -3M = 13 Add '-28' to each side of the equation. 28 + -28 + -3M = 13 + -28 Combine like terms: 28 + -28 = 0 0 + -3M = 13 + -28 -3M = 13 + -28 Combine like terms: 13 + -28 = -15 -3M = -15 Divide each side by '-3'. M = 5 Simplifying M = 5
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