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