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Simplifying 7(t + -3) + 8t = 5(3t + 4) + -8 Reorder the terms: 7(-3 + t) + 8t = 5(3t + 4) + -8 (-3 * 7 + t * 7) + 8t = 5(3t + 4) + -8 (-21 + 7t) + 8t = 5(3t + 4) + -8 Combine like terms: 7t + 8t = 15t -21 + 15t = 5(3t + 4) + -8 Reorder the terms: -21 + 15t = 5(4 + 3t) + -8 -21 + 15t = (4 * 5 + 3t * 5) + -8 -21 + 15t = (20 + 15t) + -8 Reorder the terms: -21 + 15t = 20 + -8 + 15t Combine like terms: 20 + -8 = 12 -21 + 15t = 12 + 15t Add '-15t' to each side of the equation. -21 + 15t + -15t = 12 + 15t + -15t Combine like terms: 15t + -15t = 0 -21 + 0 = 12 + 15t + -15t -21 = 12 + 15t + -15t Combine like terms: 15t + -15t = 0 -21 = 12 + 0 -21 = 12 Solving -21 = 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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