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Simplifying 15(t + -2) + 3t = 6(3t + 3) + -11 Reorder the terms: 15(-2 + t) + 3t = 6(3t + 3) + -11 (-2 * 15 + t * 15) + 3t = 6(3t + 3) + -11 (-30 + 15t) + 3t = 6(3t + 3) + -11 Combine like terms: 15t + 3t = 18t -30 + 18t = 6(3t + 3) + -11 Reorder the terms: -30 + 18t = 6(3 + 3t) + -11 -30 + 18t = (3 * 6 + 3t * 6) + -11 -30 + 18t = (18 + 18t) + -11 Reorder the terms: -30 + 18t = 18 + -11 + 18t Combine like terms: 18 + -11 = 7 -30 + 18t = 7 + 18t Add '-18t' to each side of the equation. -30 + 18t + -18t = 7 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 + 0 = 7 + 18t + -18t -30 = 7 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 = 7 + 0 -30 = 7 Solving -30 = 7 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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