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Simplifying 3(1 + -1t) + 5 = (1 + -1t) + -7 (1 * 3 + -1t * 3) + 5 = (1 + -1t) + -7 (3 + -3t) + 5 = (1 + -1t) + -7 Reorder the terms: 3 + 5 + -3t = (1 + -1t) + -7 Combine like terms: 3 + 5 = 8 8 + -3t = (1 + -1t) + -7 Remove parenthesis around (1 + -1t) 8 + -3t = 1 + -1t + -7 Reorder the terms: 8 + -3t = 1 + -7 + -1t Combine like terms: 1 + -7 = -6 8 + -3t = -6 + -1t Solving 8 + -3t = -6 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 8 + -3t + t = -6 + -1t + t Combine like terms: -3t + t = -2t 8 + -2t = -6 + -1t + t Combine like terms: -1t + t = 0 8 + -2t = -6 + 0 8 + -2t = -6 Add '-8' to each side of the equation. 8 + -8 + -2t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = -6 + -8 -2t = -6 + -8 Combine like terms: -6 + -8 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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