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Simplifying 5(m + 1) + -3 = 3(4 + m) + (2m + -1) Reorder the terms: 5(1 + m) + -3 = 3(4 + m) + (2m + -1) (1 * 5 + m * 5) + -3 = 3(4 + m) + (2m + -1) (5 + 5m) + -3 = 3(4 + m) + (2m + -1) Reorder the terms: 5 + -3 + 5m = 3(4 + m) + (2m + -1) Combine like terms: 5 + -3 = 2 2 + 5m = 3(4 + m) + (2m + -1) 2 + 5m = (4 * 3 + m * 3) + (2m + -1) 2 + 5m = (12 + 3m) + (2m + -1) Reorder the terms: 2 + 5m = 12 + 3m + (-1 + 2m) Remove parenthesis around (-1 + 2m) 2 + 5m = 12 + 3m + -1 + 2m Reorder the terms: 2 + 5m = 12 + -1 + 3m + 2m Combine like terms: 12 + -1 = 11 2 + 5m = 11 + 3m + 2m Combine like terms: 3m + 2m = 5m 2 + 5m = 11 + 5m Add '-5m' to each side of the equation. 2 + 5m + -5m = 11 + 5m + -5m Combine like terms: 5m + -5m = 0 2 + 0 = 11 + 5m + -5m 2 = 11 + 5m + -5m Combine like terms: 5m + -5m = 0 2 = 11 + 0 2 = 11 Solving 2 = 11 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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