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Simplifying 8(M + -4) + -7(m + 1) = -39 Reorder the terms: 8(-4 + M) + -7(m + 1) = -39 (-4 * 8 + M * 8) + -7(m + 1) = -39 (-32 + 8M) + -7(m + 1) = -39 Reorder the terms: -32 + 8M + -7(1 + m) = -39 -32 + 8M + (1 * -7 + m * -7) = -39 -32 + 8M + (-7 + -7m) = -39 Reorder the terms: -32 + -7 + 8M + -7m = -39 Combine like terms: -32 + -7 = -39 -39 + 8M + -7m = -39 Add '39' to each side of the equation. -39 + 8M + 39 + -7m = -39 + 39 Reorder the terms: -39 + 39 + 8M + -7m = -39 + 39 Combine like terms: -39 + 39 = 0 0 + 8M + -7m = -39 + 39 8M + -7m = -39 + 39 Combine like terms: -39 + 39 = 0 8M + -7m = 0 Solving 8M + -7m = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '7m' to each side of the equation. 8M + -7m + 7m = 0 + 7m Combine like terms: -7m + 7m = 0 8M + 0 = 0 + 7m 8M = 0 + 7m Remove the zero: 8M = 7m Divide each side by '8'. M = 0.875m Simplifying M = 0.875m
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