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Simplifying -4(t + -1) + 6t = 8t + -3 Reorder the terms: -4(-1 + t) + 6t = 8t + -3 (-1 * -4 + t * -4) + 6t = 8t + -3 (4 + -4t) + 6t = 8t + -3 Combine like terms: -4t + 6t = 2t 4 + 2t = 8t + -3 Reorder the terms: 4 + 2t = -3 + 8t Solving 4 + 2t = -3 + 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. 4 + 2t + -8t = -3 + 8t + -8t Combine like terms: 2t + -8t = -6t 4 + -6t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 4 + -6t = -3 + 0 4 + -6t = -3 Add '-4' to each side of the equation. 4 + -4 + -6t = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -6t = -3 + -4 -6t = -3 + -4 Combine like terms: -3 + -4 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667
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