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Simplifying -2(t + -5) + 4t = 8t + -5 Reorder the terms: -2(-5 + t) + 4t = 8t + -5 (-5 * -2 + t * -2) + 4t = 8t + -5 (10 + -2t) + 4t = 8t + -5 Combine like terms: -2t + 4t = 2t 10 + 2t = 8t + -5 Reorder the terms: 10 + 2t = -5 + 8t Solving 10 + 2t = -5 + 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 + 2t + -8t = -5 + 8t + -8t Combine like terms: 2t + -8t = -6t 10 + -6t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -6t = -5 + 0 10 + -6t = -5 Add '-10' to each side of the equation. 10 + -10 + -6t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = -5 + -10 -6t = -5 + -10 Combine like terms: -5 + -10 = -15 -6t = -15 Divide each side by '-6'. t = 2.5 Simplifying t = 2.5
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