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Simplifying 12(t + -3) + 3t = 5(3t + 3) + -9 Reorder the terms: 12(-3 + t) + 3t = 5(3t + 3) + -9 (-3 * 12 + t * 12) + 3t = 5(3t + 3) + -9 (-36 + 12t) + 3t = 5(3t + 3) + -9 Combine like terms: 12t + 3t = 15t -36 + 15t = 5(3t + 3) + -9 Reorder the terms: -36 + 15t = 5(3 + 3t) + -9 -36 + 15t = (3 * 5 + 3t * 5) + -9 -36 + 15t = (15 + 15t) + -9 Reorder the terms: -36 + 15t = 15 + -9 + 15t Combine like terms: 15 + -9 = 6 -36 + 15t = 6 + 15t Add '-15t' to each side of the equation. -36 + 15t + -15t = 6 + 15t + -15t Combine like terms: 15t + -15t = 0 -36 + 0 = 6 + 15t + -15t -36 = 6 + 15t + -15t Combine like terms: 15t + -15t = 0 -36 = 6 + 0 -36 = 6 Solving -36 = 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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