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Simplifying 6(1 + -1t) + 5 = 3(2 + -1t) + -4 (1 * 6 + -1t * 6) + 5 = 3(2 + -1t) + -4 (6 + -6t) + 5 = 3(2 + -1t) + -4 Reorder the terms: 6 + 5 + -6t = 3(2 + -1t) + -4 Combine like terms: 6 + 5 = 11 11 + -6t = 3(2 + -1t) + -4 11 + -6t = (2 * 3 + -1t * 3) + -4 11 + -6t = (6 + -3t) + -4 Reorder the terms: 11 + -6t = 6 + -4 + -3t Combine like terms: 6 + -4 = 2 11 + -6t = 2 + -3t Solving 11 + -6t = 2 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 11 + -6t + 3t = 2 + -3t + 3t Combine like terms: -6t + 3t = -3t 11 + -3t = 2 + -3t + 3t Combine like terms: -3t + 3t = 0 11 + -3t = 2 + 0 11 + -3t = 2 Add '-11' to each side of the equation. 11 + -11 + -3t = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -3t = 2 + -11 -3t = 2 + -11 Combine like terms: 2 + -11 = -9 -3t = -9 Divide each side by '-3'. t = 3 Simplifying t = 3
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