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Simplifying -2(t + -4) + 7t = 8t + -6 Reorder the terms: -2(-4 + t) + 7t = 8t + -6 (-4 * -2 + t * -2) + 7t = 8t + -6 (8 + -2t) + 7t = 8t + -6 Combine like terms: -2t + 7t = 5t 8 + 5t = 8t + -6 Reorder the terms: 8 + 5t = -6 + 8t Solving 8 + 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. 8 + 5t + -8t = -6 + 8t + -8t Combine like terms: 5t + -8t = -3t 8 + -3t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -3t = -6 + 0 8 + -3t = -6 Add '-8' to each side of the equation. 8 + -8 + -3t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -6 + -8 -3t = -6 + -8 Combine like terms: -6 + -8 = -14 -3t = -14 Divide each side by '-3'. t = 4.666666667 Simplifying t = 4.666666667
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