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Simplifying 7(t + -5) + 8t = 5(3t + 3) + -10 Reorder the terms: 7(-5 + t) + 8t = 5(3t + 3) + -10 (-5 * 7 + t * 7) + 8t = 5(3t + 3) + -10 (-35 + 7t) + 8t = 5(3t + 3) + -10 Combine like terms: 7t + 8t = 15t -35 + 15t = 5(3t + 3) + -10 Reorder the terms: -35 + 15t = 5(3 + 3t) + -10 -35 + 15t = (3 * 5 + 3t * 5) + -10 -35 + 15t = (15 + 15t) + -10 Reorder the terms: -35 + 15t = 15 + -10 + 15t Combine like terms: 15 + -10 = 5 -35 + 15t = 5 + 15t Add '-15t' to each side of the equation. -35 + 15t + -15t = 5 + 15t + -15t Combine like terms: 15t + -15t = 0 -35 + 0 = 5 + 15t + -15t -35 = 5 + 15t + -15t Combine like terms: 15t + -15t = 0 -35 = 5 + 0 -35 = 5 Solving -35 = 5 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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