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Simplifying 3(t + 1) + -4t = -5 Reorder the terms: 3(1 + t) + -4t = -5 (1 * 3 + t * 3) + -4t = -5 (3 + 3t) + -4t = -5 Combine like terms: 3t + -4t = -1t 3 + -1t = -5 Solving 3 + -1t = -5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = -5 + -3 -1t = -5 + -3 Combine like terms: -5 + -3 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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