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Simplifying -4(t + -1) + 8t = 6t + -8 Reorder the terms: -4(-1 + t) + 8t = 6t + -8 (-1 * -4 + t * -4) + 8t = 6t + -8 (4 + -4t) + 8t = 6t + -8 Combine like terms: -4t + 8t = 4t 4 + 4t = 6t + -8 Reorder the terms: 4 + 4t = -8 + 6t Solving 4 + 4t = -8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + 4t + -6t = -8 + 6t + -6t Combine like terms: 4t + -6t = -2t 4 + -2t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -2t = -8 + 0 4 + -2t = -8 Add '-4' to each side of the equation. 4 + -4 + -2t = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = -8 + -4 -2t = -8 + -4 Combine like terms: -8 + -4 = -12 -2t = -12 Divide each side by '-2'. t = 6 Simplifying t = 6
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