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Simplifying 10(t + -3) + 8t = 6(3t + 4) + -10 Reorder the terms: 10(-3 + t) + 8t = 6(3t + 4) + -10 (-3 * 10 + t * 10) + 8t = 6(3t + 4) + -10 (-30 + 10t) + 8t = 6(3t + 4) + -10 Combine like terms: 10t + 8t = 18t -30 + 18t = 6(3t + 4) + -10 Reorder the terms: -30 + 18t = 6(4 + 3t) + -10 -30 + 18t = (4 * 6 + 3t * 6) + -10 -30 + 18t = (24 + 18t) + -10 Reorder the terms: -30 + 18t = 24 + -10 + 18t Combine like terms: 24 + -10 = 14 -30 + 18t = 14 + 18t Add '-18t' to each side of the equation. -30 + 18t + -18t = 14 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 + 0 = 14 + 18t + -18t -30 = 14 + 18t + -18t Combine like terms: 18t + -18t = 0 -30 = 14 + 0 -30 = 14 Solving -30 = 14 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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