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Simplifying 10(t + -3) + 8t = 6(3t + 5) + -12 Reorder the terms: 10(-3 + t) + 8t = 6(3t + 5) + -12 (-3 * 10 + t * 10) + 8t = 6(3t + 5) + -12 (-30 + 10t) + 8t = 6(3t + 5) + -12 Combine like terms: 10t + 8t = 18t -30 + 18t = 6(3t + 5) + -12 Reorder the terms: -30 + 18t = 6(5 + 3t) + -12 -30 + 18t = (5 * 6 + 3t * 6) + -12 -30 + 18t = (30 + 18t) + -12 Reorder the terms: -30 + 18t = 30 + -12 + 18t Combine like terms: 30 + -12 = 18 -30 + 18t = 18 + 18t Add '-18t' to each side of the equation. -30 + 18t + -18t = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 + 0 = 18 + 18t + -18t -30 = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 = 18 + 0 -30 = 18 Solving -30 = 18 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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