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Simplifying 14(t + -3) + 4t = 6(3t + 4) + -9 Reorder the terms: 14(-3 + t) + 4t = 6(3t + 4) + -9 (-3 * 14 + t * 14) + 4t = 6(3t + 4) + -9 (-42 + 14t) + 4t = 6(3t + 4) + -9 Combine like terms: 14t + 4t = 18t -42 + 18t = 6(3t + 4) + -9 Reorder the terms: -42 + 18t = 6(4 + 3t) + -9 -42 + 18t = (4 * 6 + 3t * 6) + -9 -42 + 18t = (24 + 18t) + -9 Reorder the terms: -42 + 18t = 24 + -9 + 18t Combine like terms: 24 + -9 = 15 -42 + 18t = 15 + 18t Add '-18t' to each side of the equation. -42 + 18t + -18t = 15 + 18t + -18t Combine like terms: 18t + -18t = 0 -42 + 0 = 15 + 18t + -18t -42 = 15 + 18t + -18t Combine like terms: 18t + -18t = 0 -42 = 15 + 0 -42 = 15 Solving -42 = 15 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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