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Simplifying 14(t + -5) + 4t = 6(3t + 4) + -8 Reorder the terms: 14(-5 + t) + 4t = 6(3t + 4) + -8 (-5 * 14 + t * 14) + 4t = 6(3t + 4) + -8 (-70 + 14t) + 4t = 6(3t + 4) + -8 Combine like terms: 14t + 4t = 18t -70 + 18t = 6(3t + 4) + -8 Reorder the terms: -70 + 18t = 6(4 + 3t) + -8 -70 + 18t = (4 * 6 + 3t * 6) + -8 -70 + 18t = (24 + 18t) + -8 Reorder the terms: -70 + 18t = 24 + -8 + 18t Combine like terms: 24 + -8 = 16 -70 + 18t = 16 + 18t Add '-18t' to each side of the equation. -70 + 18t + -18t = 16 + 18t + -18t Combine like terms: 18t + -18t = 0 -70 + 0 = 16 + 18t + -18t -70 = 16 + 18t + -18t Combine like terms: 18t + -18t = 0 -70 = 16 + 0 -70 = 16 Solving -70 = 16 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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