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Simplifying 9(t + -5) + 6t = 5(3t + 2) + -9 Reorder the terms: 9(-5 + t) + 6t = 5(3t + 2) + -9 (-5 * 9 + t * 9) + 6t = 5(3t + 2) + -9 (-45 + 9t) + 6t = 5(3t + 2) + -9 Combine like terms: 9t + 6t = 15t -45 + 15t = 5(3t + 2) + -9 Reorder the terms: -45 + 15t = 5(2 + 3t) + -9 -45 + 15t = (2 * 5 + 3t * 5) + -9 -45 + 15t = (10 + 15t) + -9 Reorder the terms: -45 + 15t = 10 + -9 + 15t Combine like terms: 10 + -9 = 1 -45 + 15t = 1 + 15t Add '-15t' to each side of the equation. -45 + 15t + -15t = 1 + 15t + -15t Combine like terms: 15t + -15t = 0 -45 + 0 = 1 + 15t + -15t -45 = 1 + 15t + -15t Combine like terms: 15t + -15t = 0 -45 = 1 + 0 -45 = 1 Solving -45 = 1 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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