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Simplifying -2(t + -1) + 7t = 8t + -6 Reorder the terms: -2(-1 + t) + 7t = 8t + -6 (-1 * -2 + t * -2) + 7t = 8t + -6 (2 + -2t) + 7t = 8t + -6 Combine like terms: -2t + 7t = 5t 2 + 5t = 8t + -6 Reorder the terms: 2 + 5t = -6 + 8t Solving 2 + 5t = -6 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 2 + 5t + -8t = -6 + 8t + -8t Combine like terms: 5t + -8t = -3t 2 + -3t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 2 + -3t = -6 + 0 2 + -3t = -6 Add '-2' to each side of the equation. 2 + -2 + -3t = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = -6 + -2 -3t = -6 + -2 Combine like terms: -6 + -2 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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