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Simplifying 12(t + -4) + 6t = 6(3t + 5) + -11 Reorder the terms: 12(-4 + t) + 6t = 6(3t + 5) + -11 (-4 * 12 + t * 12) + 6t = 6(3t + 5) + -11 (-48 + 12t) + 6t = 6(3t + 5) + -11 Combine like terms: 12t + 6t = 18t -48 + 18t = 6(3t + 5) + -11 Reorder the terms: -48 + 18t = 6(5 + 3t) + -11 -48 + 18t = (5 * 6 + 3t * 6) + -11 -48 + 18t = (30 + 18t) + -11 Reorder the terms: -48 + 18t = 30 + -11 + 18t Combine like terms: 30 + -11 = 19 -48 + 18t = 19 + 18t Add '-18t' to each side of the equation. -48 + 18t + -18t = 19 + 18t + -18t Combine like terms: 18t + -18t = 0 -48 + 0 = 19 + 18t + -18t -48 = 19 + 18t + -18t Combine like terms: 18t + -18t = 0 -48 = 19 + 0 -48 = 19 Solving -48 = 19 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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