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