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Simplifying -4(5t + -2) + 5 = 2t + -8 Reorder the terms: -4(-2 + 5t) + 5 = 2t + -8 (-2 * -4 + 5t * -4) + 5 = 2t + -8 (8 + -20t) + 5 = 2t + -8 Reorder the terms: 8 + 5 + -20t = 2t + -8 Combine like terms: 8 + 5 = 13 13 + -20t = 2t + -8 Reorder the terms: 13 + -20t = -8 + 2t Solving 13 + -20t = -8 + 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. 13 + -20t + -2t = -8 + 2t + -2t Combine like terms: -20t + -2t = -22t 13 + -22t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 13 + -22t = -8 + 0 13 + -22t = -8 Add '-13' to each side of the equation. 13 + -13 + -22t = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -22t = -8 + -13 -22t = -8 + -13 Combine like terms: -8 + -13 = -21 -22t = -21 Divide each side by '-22'. t = 0.9545454545 Simplifying t = 0.9545454545
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