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Simplifying 5m + -3[7 + (1 + 2M)] = 0 Remove parenthesis around (1 + 2M) 5m + -3[7 + 1 + 2M] = 0 Combine like terms: 7 + 1 = 8 5m + -3[8 + 2M] = 0 5m + [8 * -3 + 2M * -3] = 0 5m + [-24 + -6M] = 0 Reorder the terms: -24 + -6M + 5m = 0 Solving -24 + -6M + 5m = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -6M + 24 + 5m = 0 + 24 Reorder the terms: -24 + 24 + -6M + 5m = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6M + 5m = 0 + 24 -6M + 5m = 0 + 24 Combine like terms: 0 + 24 = 24 -6M + 5m = 24 Add '-5m' to each side of the equation. -6M + 5m + -5m = 24 + -5m Combine like terms: 5m + -5m = 0 -6M + 0 = 24 + -5m -6M = 24 + -5m Divide each side by '-6'. M = -4 + 0.8333333333m Simplifying M = -4 + 0.8333333333m
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