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Simplifying 7(2m + 3) + -2(8M + -4) = 0 Reorder the terms: 7(3 + 2m) + -2(8M + -4) = 0 (3 * 7 + 2m * 7) + -2(8M + -4) = 0 (21 + 14m) + -2(8M + -4) = 0 Reorder the terms: 21 + 14m + -2(-4 + 8M) = 0 21 + 14m + (-4 * -2 + 8M * -2) = 0 21 + 14m + (8 + -16M) = 0 Reorder the terms: 21 + 8 + -16M + 14m = 0 Combine like terms: 21 + 8 = 29 29 + -16M + 14m = 0 Solving 29 + -16M + 14m = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -16M + -29 + 14m = 0 + -29 Reorder the terms: 29 + -29 + -16M + 14m = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -16M + 14m = 0 + -29 -16M + 14m = 0 + -29 Combine like terms: 0 + -29 = -29 -16M + 14m = -29 Add '-14m' to each side of the equation. -16M + 14m + -14m = -29 + -14m Combine like terms: 14m + -14m = 0 -16M + 0 = -29 + -14m -16M = -29 + -14m Divide each side by '-16'. M = 1.8125 + 0.875m Simplifying M = 1.8125 + 0.875m
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