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Simplifying 15(t + -3) + 3t = 6(3t + 4) + -12 Reorder the terms: 15(-3 + t) + 3t = 6(3t + 4) + -12 (-3 * 15 + t * 15) + 3t = 6(3t + 4) + -12 (-45 + 15t) + 3t = 6(3t + 4) + -12 Combine like terms: 15t + 3t = 18t -45 + 18t = 6(3t + 4) + -12 Reorder the terms: -45 + 18t = 6(4 + 3t) + -12 -45 + 18t = (4 * 6 + 3t * 6) + -12 -45 + 18t = (24 + 18t) + -12 Reorder the terms: -45 + 18t = 24 + -12 + 18t Combine like terms: 24 + -12 = 12 -45 + 18t = 12 + 18t Add '-18t' to each side of the equation. -45 + 18t + -18t = 12 + 18t + -18t Combine like terms: 18t + -18t = 0 -45 + 0 = 12 + 18t + -18t -45 = 12 + 18t + -18t Combine like terms: 18t + -18t = 0 -45 = 12 + 0 -45 = 12 Solving -45 = 12 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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