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Simplifying 9(t + -6) + 6t = 5(3t + 3) + -8 Reorder the terms: 9(-6 + t) + 6t = 5(3t + 3) + -8 (-6 * 9 + t * 9) + 6t = 5(3t + 3) + -8 (-54 + 9t) + 6t = 5(3t + 3) + -8 Combine like terms: 9t + 6t = 15t -54 + 15t = 5(3t + 3) + -8 Reorder the terms: -54 + 15t = 5(3 + 3t) + -8 -54 + 15t = (3 * 5 + 3t * 5) + -8 -54 + 15t = (15 + 15t) + -8 Reorder the terms: -54 + 15t = 15 + -8 + 15t Combine like terms: 15 + -8 = 7 -54 + 15t = 7 + 15t Add '-15t' to each side of the equation. -54 + 15t + -15t = 7 + 15t + -15t Combine like terms: 15t + -15t = 0 -54 + 0 = 7 + 15t + -15t -54 = 7 + 15t + -15t Combine like terms: 15t + -15t = 0 -54 = 7 + 0 -54 = 7 Solving -54 = 7 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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