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Simplifying 6t + 8(1 + -1t) = 7 6t + (1 * 8 + -1t * 8) = 7 6t + (8 + -8t) = 7 Reorder the terms: 8 + 6t + -8t = 7 Combine like terms: 6t + -8t = -2t 8 + -2t = 7 Solving 8 + -2t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2t = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -2t = 7 + -8 -2t = 7 + -8 Combine like terms: 7 + -8 = -1 -2t = -1 Divide each side by '-2'. t = 0.5 Simplifying t = 0.5
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