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Simplifying 9(t + -6) + 6t = 5(3t + 4) + -10 Reorder the terms: 9(-6 + t) + 6t = 5(3t + 4) + -10 (-6 * 9 + t * 9) + 6t = 5(3t + 4) + -10 (-54 + 9t) + 6t = 5(3t + 4) + -10 Combine like terms: 9t + 6t = 15t -54 + 15t = 5(3t + 4) + -10 Reorder the terms: -54 + 15t = 5(4 + 3t) + -10 -54 + 15t = (4 * 5 + 3t * 5) + -10 -54 + 15t = (20 + 15t) + -10 Reorder the terms: -54 + 15t = 20 + -10 + 15t Combine like terms: 20 + -10 = 10 -54 + 15t = 10 + 15t Add '-15t' to each side of the equation. -54 + 15t + -15t = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 -54 + 0 = 10 + 15t + -15t -54 = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 -54 = 10 + 0 -54 = 10 Solving -54 = 10 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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