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Simplifying 8(M + 2) = 23 + -4(2 + -1M) Reorder the terms: 8(2 + M) = 23 + -4(2 + -1M) (2 * 8 + M * 8) = 23 + -4(2 + -1M) (16 + 8M) = 23 + -4(2 + -1M) 16 + 8M = 23 + (2 * -4 + -1M * -4) 16 + 8M = 23 + (-8 + 4M) Combine like terms: 23 + -8 = 15 16 + 8M = 15 + 4M Solving 16 + 8M = 15 + 4M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-4M' to each side of the equation. 16 + 8M + -4M = 15 + 4M + -4M Combine like terms: 8M + -4M = 4M 16 + 4M = 15 + 4M + -4M Combine like terms: 4M + -4M = 0 16 + 4M = 15 + 0 16 + 4M = 15 Add '-16' to each side of the equation. 16 + -16 + 4M = 15 + -16 Combine like terms: 16 + -16 = 0 0 + 4M = 15 + -16 4M = 15 + -16 Combine like terms: 15 + -16 = -1 4M = -1 Divide each side by '4'. M = -0.25 Simplifying M = -0.25
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