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Simplifying 8(t + -3) + 7t = 5(3t + 3) + -12 Reorder the terms: 8(-3 + t) + 7t = 5(3t + 3) + -12 (-3 * 8 + t * 8) + 7t = 5(3t + 3) + -12 (-24 + 8t) + 7t = 5(3t + 3) + -12 Combine like terms: 8t + 7t = 15t -24 + 15t = 5(3t + 3) + -12 Reorder the terms: -24 + 15t = 5(3 + 3t) + -12 -24 + 15t = (3 * 5 + 3t * 5) + -12 -24 + 15t = (15 + 15t) + -12 Reorder the terms: -24 + 15t = 15 + -12 + 15t Combine like terms: 15 + -12 = 3 -24 + 15t = 3 + 15t Add '-15t' to each side of the equation. -24 + 15t + -15t = 3 + 15t + -15t Combine like terms: 15t + -15t = 0 -24 + 0 = 3 + 15t + -15t -24 = 3 + 15t + -15t Combine like terms: 15t + -15t = 0 -24 = 3 + 0 -24 = 3 Solving -24 = 3 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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