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Simplifying 5(2m + 3) + -1(1 + -2m) = 2[3(3 + 2m)] Reorder the terms: 5(3 + 2m) + -1(1 + -2m) = 2[3(3 + 2m)] (3 * 5 + 2m * 5) + -1(1 + -2m) = 2[3(3 + 2m)] (15 + 10m) + -1(1 + -2m) = 2[3(3 + 2m)] 15 + 10m + (1 * -1 + -2m * -1) = 2[3(3 + 2m)] 15 + 10m + (-1 + 2m) = 2[3(3 + 2m)] Reorder the terms: 15 + -1 + 10m + 2m = 2[3(3 + 2m)] Combine like terms: 15 + -1 = 14 14 + 10m + 2m = 2[3(3 + 2m)] Combine like terms: 10m + 2m = 12m 14 + 12m = 2[3(3 + 2m)] 14 + 12m = 2[(3 * 3 + 2m * 3)] 14 + 12m = 2[(9 + 6m)] 14 + 12m = [9 * 2 + 6m * 2] 14 + 12m = [18 + 12m] Add '-12m' to each side of the equation. 14 + 12m + -12m = 18 + 12m + -12m Combine like terms: 12m + -12m = 0 14 + 0 = 18 + 12m + -12m 14 = 18 + 12m + -12m Combine like terms: 12m + -12m = 0 14 = 18 + 0 14 = 18 Solving 14 = 18 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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