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Simplifying 7(M + 1) + 16(M + -3) = 2(M + -4) + 9 Reorder the terms: 7(1 + M) + 16(M + -3) = 2(M + -4) + 9 (1 * 7 + M * 7) + 16(M + -3) = 2(M + -4) + 9 (7 + 7M) + 16(M + -3) = 2(M + -4) + 9 Reorder the terms: 7 + 7M + 16(-3 + M) = 2(M + -4) + 9 7 + 7M + (-3 * 16 + M * 16) = 2(M + -4) + 9 7 + 7M + (-48 + 16M) = 2(M + -4) + 9 Reorder the terms: 7 + -48 + 7M + 16M = 2(M + -4) + 9 Combine like terms: 7 + -48 = -41 -41 + 7M + 16M = 2(M + -4) + 9 Combine like terms: 7M + 16M = 23M -41 + 23M = 2(M + -4) + 9 Reorder the terms: -41 + 23M = 2(-4 + M) + 9 -41 + 23M = (-4 * 2 + M * 2) + 9 -41 + 23M = (-8 + 2M) + 9 Reorder the terms: -41 + 23M = -8 + 9 + 2M Combine like terms: -8 + 9 = 1 -41 + 23M = 1 + 2M Solving -41 + 23M = 1 + 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. -41 + 23M + -2M = 1 + 2M + -2M Combine like terms: 23M + -2M = 21M -41 + 21M = 1 + 2M + -2M Combine like terms: 2M + -2M = 0 -41 + 21M = 1 + 0 -41 + 21M = 1 Add '41' to each side of the equation. -41 + 41 + 21M = 1 + 41 Combine like terms: -41 + 41 = 0 0 + 21M = 1 + 41 21M = 1 + 41 Combine like terms: 1 + 41 = 42 21M = 42 Divide each side by '21'. M = 2 Simplifying M = 2
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