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Simplifying 9(t + -5) + 6t = 5(3t + 5) + -10 Reorder the terms: 9(-5 + t) + 6t = 5(3t + 5) + -10 (-5 * 9 + t * 9) + 6t = 5(3t + 5) + -10 (-45 + 9t) + 6t = 5(3t + 5) + -10 Combine like terms: 9t + 6t = 15t -45 + 15t = 5(3t + 5) + -10 Reorder the terms: -45 + 15t = 5(5 + 3t) + -10 -45 + 15t = (5 * 5 + 3t * 5) + -10 -45 + 15t = (25 + 15t) + -10 Reorder the terms: -45 + 15t = 25 + -10 + 15t Combine like terms: 25 + -10 = 15 -45 + 15t = 15 + 15t Add '-15t' to each side of the equation. -45 + 15t + -15t = 15 + 15t + -15t Combine like terms: 15t + -15t = 0 -45 + 0 = 15 + 15t + -15t -45 = 15 + 15t + -15t Combine like terms: 15t + -15t = 0 -45 = 15 + 0 -45 = 15 Solving -45 = 15 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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