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Simplifying 8(t + -1) = 3(t + 14) + -1t Reorder the terms: 8(-1 + t) = 3(t + 14) + -1t (-1 * 8 + t * 8) = 3(t + 14) + -1t (-8 + 8t) = 3(t + 14) + -1t Reorder the terms: -8 + 8t = 3(14 + t) + -1t -8 + 8t = (14 * 3 + t * 3) + -1t -8 + 8t = (42 + 3t) + -1t Combine like terms: 3t + -1t = 2t -8 + 8t = 42 + 2t Solving -8 + 8t = 42 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -8 + 8t + -2t = 42 + 2t + -2t Combine like terms: 8t + -2t = 6t -8 + 6t = 42 + 2t + -2t Combine like terms: 2t + -2t = 0 -8 + 6t = 42 + 0 -8 + 6t = 42 Add '8' to each side of the equation. -8 + 8 + 6t = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 6t = 42 + 8 6t = 42 + 8 Combine like terms: 42 + 8 = 50 6t = 50 Divide each side by '6'. t = 8.333333333 Simplifying t = 8.333333333
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