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Simplifying -2(t + -5) + 6t = 8t + -8 Reorder the terms: -2(-5 + t) + 6t = 8t + -8 (-5 * -2 + t * -2) + 6t = 8t + -8 (10 + -2t) + 6t = 8t + -8 Combine like terms: -2t + 6t = 4t 10 + 4t = 8t + -8 Reorder the terms: 10 + 4t = -8 + 8t Solving 10 + 4t = -8 + 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. 10 + 4t + -8t = -8 + 8t + -8t Combine like terms: 4t + -8t = -4t 10 + -4t = -8 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -4t = -8 + 0 10 + -4t = -8 Add '-10' to each side of the equation. 10 + -10 + -4t = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -4t = -8 + -10 -4t = -8 + -10 Combine like terms: -8 + -10 = -18 -4t = -18 Divide each side by '-4'. t = 4.5 Simplifying t = 4.5
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