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Simplifying 7m + -3(M + 6) = 10 Reorder the terms: 7m + -3(6 + M) = 10 7m + (6 * -3 + M * -3) = 10 7m + (-18 + -3M) = 10 Reorder the terms: -18 + -3M + 7m = 10 Solving -18 + -3M + 7m = 10 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -3M + 18 + 7m = 10 + 18 Reorder the terms: -18 + 18 + -3M + 7m = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -3M + 7m = 10 + 18 -3M + 7m = 10 + 18 Combine like terms: 10 + 18 = 28 -3M + 7m = 28 Add '-7m' to each side of the equation. -3M + 7m + -7m = 28 + -7m Combine like terms: 7m + -7m = 0 -3M + 0 = 28 + -7m -3M = 28 + -7m Divide each side by '-3'. M = -9.333333333 + 2.333333333m Simplifying M = -9.333333333 + 2.333333333m
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