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Simplifying -2(5t + -5) + 8t = 2t + -5 Reorder the terms: -2(-5 + 5t) + 8t = 2t + -5 (-5 * -2 + 5t * -2) + 8t = 2t + -5 (10 + -10t) + 8t = 2t + -5 Combine like terms: -10t + 8t = -2t 10 + -2t = 2t + -5 Reorder the terms: 10 + -2t = -5 + 2t Solving 10 + -2t = -5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 10 + -2t + -2t = -5 + 2t + -2t Combine like terms: -2t + -2t = -4t 10 + -4t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -4t = -5 + 0 10 + -4t = -5 Add '-10' to each side of the equation. 10 + -10 + -4t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -4t = -5 + -10 -4t = -5 + -10 Combine like terms: -5 + -10 = -15 -4t = -15 Divide each side by '-4'. t = 3.75 Simplifying t = 3.75
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