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Simplifying 7(t + -4) + 8t = 5(3t + 5) + -9 Reorder the terms: 7(-4 + t) + 8t = 5(3t + 5) + -9 (-4 * 7 + t * 7) + 8t = 5(3t + 5) + -9 (-28 + 7t) + 8t = 5(3t + 5) + -9 Combine like terms: 7t + 8t = 15t -28 + 15t = 5(3t + 5) + -9 Reorder the terms: -28 + 15t = 5(5 + 3t) + -9 -28 + 15t = (5 * 5 + 3t * 5) + -9 -28 + 15t = (25 + 15t) + -9 Reorder the terms: -28 + 15t = 25 + -9 + 15t Combine like terms: 25 + -9 = 16 -28 + 15t = 16 + 15t Add '-15t' to each side of the equation. -28 + 15t + -15t = 16 + 15t + -15t Combine like terms: 15t + -15t = 0 -28 + 0 = 16 + 15t + -15t -28 = 16 + 15t + -15t Combine like terms: 15t + -15t = 0 -28 = 16 + 0 -28 = 16 Solving -28 = 16 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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