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Simplifying 13(t + -3) + 6t = 6(3t + 2) + -11 Reorder the terms: 13(-3 + t) + 6t = 6(3t + 2) + -11 (-3 * 13 + t * 13) + 6t = 6(3t + 2) + -11 (-39 + 13t) + 6t = 6(3t + 2) + -11 Combine like terms: 13t + 6t = 19t -39 + 19t = 6(3t + 2) + -11 Reorder the terms: -39 + 19t = 6(2 + 3t) + -11 -39 + 19t = (2 * 6 + 3t * 6) + -11 -39 + 19t = (12 + 18t) + -11 Reorder the terms: -39 + 19t = 12 + -11 + 18t Combine like terms: 12 + -11 = 1 -39 + 19t = 1 + 18t Solving -39 + 19t = 1 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -39 + 19t + -18t = 1 + 18t + -18t Combine like terms: 19t + -18t = 1t -39 + 1t = 1 + 18t + -18t Combine like terms: 18t + -18t = 0 -39 + 1t = 1 + 0 -39 + 1t = 1 Add '39' to each side of the equation. -39 + 39 + 1t = 1 + 39 Combine like terms: -39 + 39 = 0 0 + 1t = 1 + 39 1t = 1 + 39 Combine like terms: 1 + 39 = 40 1t = 40 Divide each side by '1'. t = 40 Simplifying t = 40
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