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Simplifying 6(t + -6) + 4t = 5(2t + 3) + -10 Reorder the terms: 6(-6 + t) + 4t = 5(2t + 3) + -10 (-6 * 6 + t * 6) + 4t = 5(2t + 3) + -10 (-36 + 6t) + 4t = 5(2t + 3) + -10 Combine like terms: 6t + 4t = 10t -36 + 10t = 5(2t + 3) + -10 Reorder the terms: -36 + 10t = 5(3 + 2t) + -10 -36 + 10t = (3 * 5 + 2t * 5) + -10 -36 + 10t = (15 + 10t) + -10 Reorder the terms: -36 + 10t = 15 + -10 + 10t Combine like terms: 15 + -10 = 5 -36 + 10t = 5 + 10t Add '-10t' to each side of the equation. -36 + 10t + -10t = 5 + 10t + -10t Combine like terms: 10t + -10t = 0 -36 + 0 = 5 + 10t + -10t -36 = 5 + 10t + -10t Combine like terms: 10t + -10t = 0 -36 = 5 + 0 -36 = 5 Solving -36 = 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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