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Simplifying 14(t + -3) + 4t = 6(3t + 3) + -10 Reorder the terms: 14(-3 + t) + 4t = 6(3t + 3) + -10 (-3 * 14 + t * 14) + 4t = 6(3t + 3) + -10 (-42 + 14t) + 4t = 6(3t + 3) + -10 Combine like terms: 14t + 4t = 18t -42 + 18t = 6(3t + 3) + -10 Reorder the terms: -42 + 18t = 6(3 + 3t) + -10 -42 + 18t = (3 * 6 + 3t * 6) + -10 -42 + 18t = (18 + 18t) + -10 Reorder the terms: -42 + 18t = 18 + -10 + 18t Combine like terms: 18 + -10 = 8 -42 + 18t = 8 + 18t Add '-18t' to each side of the equation. -42 + 18t + -18t = 8 + 18t + -18t Combine like terms: 18t + -18t = 0 -42 + 0 = 8 + 18t + -18t -42 = 8 + 18t + -18t Combine like terms: 18t + -18t = 0 -42 = 8 + 0 -42 = 8 Solving -42 = 8 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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