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Simplifying 4t + 2(t + 1) + -5t = 13 Reorder the terms: 4t + 2(1 + t) + -5t = 13 4t + (1 * 2 + t * 2) + -5t = 13 4t + (2 + 2t) + -5t = 13 Reorder the terms: 2 + 4t + 2t + -5t = 13 Combine like terms: 4t + 2t = 6t 2 + 6t + -5t = 13 Combine like terms: 6t + -5t = 1t 2 + 1t = 13 Solving 2 + 1t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1t = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 13 + -2 1t = 13 + -2 Combine like terms: 13 + -2 = 11 1t = 11 Divide each side by '1'. t = 11 Simplifying t = 11
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