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Simplifying 15(t + -6) + 3t = 6(3t + 3) + -12 Reorder the terms: 15(-6 + t) + 3t = 6(3t + 3) + -12 (-6 * 15 + t * 15) + 3t = 6(3t + 3) + -12 (-90 + 15t) + 3t = 6(3t + 3) + -12 Combine like terms: 15t + 3t = 18t -90 + 18t = 6(3t + 3) + -12 Reorder the terms: -90 + 18t = 6(3 + 3t) + -12 -90 + 18t = (3 * 6 + 3t * 6) + -12 -90 + 18t = (18 + 18t) + -12 Reorder the terms: -90 + 18t = 18 + -12 + 18t Combine like terms: 18 + -12 = 6 -90 + 18t = 6 + 18t Add '-18t' to each side of the equation. -90 + 18t + -18t = 6 + 18t + -18t Combine like terms: 18t + -18t = 0 -90 + 0 = 6 + 18t + -18t -90 = 6 + 18t + -18t Combine like terms: 18t + -18t = 0 -90 = 6 + 0 -90 = 6 Solving -90 = 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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