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Simplifying 5t + 2(t + 13) + -4t = 4(t + 1) + -1(t + -2) Reorder the terms: 5t + 2(13 + t) + -4t = 4(t + 1) + -1(t + -2) 5t + (13 * 2 + t * 2) + -4t = 4(t + 1) + -1(t + -2) 5t + (26 + 2t) + -4t = 4(t + 1) + -1(t + -2) Reorder the terms: 26 + 5t + 2t + -4t = 4(t + 1) + -1(t + -2) Combine like terms: 5t + 2t = 7t 26 + 7t + -4t = 4(t + 1) + -1(t + -2) Combine like terms: 7t + -4t = 3t 26 + 3t = 4(t + 1) + -1(t + -2) Reorder the terms: 26 + 3t = 4(1 + t) + -1(t + -2) 26 + 3t = (1 * 4 + t * 4) + -1(t + -2) 26 + 3t = (4 + 4t) + -1(t + -2) Reorder the terms: 26 + 3t = 4 + 4t + -1(-2 + t) 26 + 3t = 4 + 4t + (-2 * -1 + t * -1) 26 + 3t = 4 + 4t + (2 + -1t) Reorder the terms: 26 + 3t = 4 + 2 + 4t + -1t Combine like terms: 4 + 2 = 6 26 + 3t = 6 + 4t + -1t Combine like terms: 4t + -1t = 3t 26 + 3t = 6 + 3t Add '-3t' to each side of the equation. 26 + 3t + -3t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 26 + 0 = 6 + 3t + -3t 26 = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 26 = 6 + 0 26 = 6 Solving 26 = 6 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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