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Simplifying 15(t + -2) + 3t = 6(3t + 4) + -13 Reorder the terms: 15(-2 + t) + 3t = 6(3t + 4) + -13 (-2 * 15 + t * 15) + 3t = 6(3t + 4) + -13 (-30 + 15t) + 3t = 6(3t + 4) + -13 Combine like terms: 15t + 3t = 18t -30 + 18t = 6(3t + 4) + -13 Reorder the terms: -30 + 18t = 6(4 + 3t) + -13 -30 + 18t = (4 * 6 + 3t * 6) + -13 -30 + 18t = (24 + 18t) + -13 Reorder the terms: -30 + 18t = 24 + -13 + 18t Combine like terms: 24 + -13 = 11 -30 + 18t = 11 + 18t Add '-18t' to each side of the equation. -30 + 18t + -18t = 11 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 + 0 = 11 + 18t + -18t -30 = 11 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 = 11 + 0 -30 = 11 Solving -30 = 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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