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Simplifying -2(t + -2) + 8t = 3t + -7 Reorder the terms: -2(-2 + t) + 8t = 3t + -7 (-2 * -2 + t * -2) + 8t = 3t + -7 (4 + -2t) + 8t = 3t + -7 Combine like terms: -2t + 8t = 6t 4 + 6t = 3t + -7 Reorder the terms: 4 + 6t = -7 + 3t Solving 4 + 6t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 4 + 6t + -3t = -7 + 3t + -3t Combine like terms: 6t + -3t = 3t 4 + 3t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + 3t = -7 + 0 4 + 3t = -7 Add '-4' to each side of the equation. 4 + -4 + 3t = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 3t = -7 + -4 3t = -7 + -4 Combine like terms: -7 + -4 = -11 3t = -11 Divide each side by '3'. t = -3.666666667 Simplifying t = -3.666666667
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