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Simplifying 13 + -1(2t + 2) = 2(t + 2) + 3t Reorder the terms: 13 + -1(2 + 2t) = 2(t + 2) + 3t 13 + (2 * -1 + 2t * -1) = 2(t + 2) + 3t 13 + (-2 + -2t) = 2(t + 2) + 3t Combine like terms: 13 + -2 = 11 11 + -2t = 2(t + 2) + 3t Reorder the terms: 11 + -2t = 2(2 + t) + 3t 11 + -2t = (2 * 2 + t * 2) + 3t 11 + -2t = (4 + 2t) + 3t Combine like terms: 2t + 3t = 5t 11 + -2t = 4 + 5t Solving 11 + -2t = 4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 11 + -2t + -5t = 4 + 5t + -5t Combine like terms: -2t + -5t = -7t 11 + -7t = 4 + 5t + -5t Combine like terms: 5t + -5t = 0 11 + -7t = 4 + 0 11 + -7t = 4 Add '-11' to each side of the equation. 11 + -11 + -7t = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -7t = 4 + -11 -7t = 4 + -11 Combine like terms: 4 + -11 = -7 -7t = -7 Divide each side by '-7'. t = 1 Simplifying t = 1
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