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Simplifying 2(t + 3) + -5 = t + 4 Reorder the terms: 2(3 + t) + -5 = t + 4 (3 * 2 + t * 2) + -5 = t + 4 (6 + 2t) + -5 = t + 4 Reorder the terms: 6 + -5 + 2t = t + 4 Combine like terms: 6 + -5 = 1 1 + 2t = t + 4 Reorder the terms: 1 + 2t = 4 + t Solving 1 + 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. 1 + 2t + -1t = 4 + t + -1t Combine like terms: 2t + -1t = 1t 1 + 1t = 4 + t + -1t Combine like terms: t + -1t = 0 1 + 1t = 4 + 0 1 + 1t = 4 Add '-1' to each side of the equation. 1 + -1 + 1t = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 4 + -1 1t = 4 + -1 Combine like terms: 4 + -1 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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