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Simplifying -2(4t + -4) + 5t = 8t + -5 Reorder the terms: -2(-4 + 4t) + 5t = 8t + -5 (-4 * -2 + 4t * -2) + 5t = 8t + -5 (8 + -8t) + 5t = 8t + -5 Combine like terms: -8t + 5t = -3t 8 + -3t = 8t + -5 Reorder the terms: 8 + -3t = -5 + 8t Solving 8 + -3t = -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. 8 + -3t + -8t = -5 + 8t + -8t Combine like terms: -3t + -8t = -11t 8 + -11t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -11t = -5 + 0 8 + -11t = -5 Add '-8' to each side of the equation. 8 + -8 + -11t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -5 + -8 -11t = -5 + -8 Combine like terms: -5 + -8 = -13 -11t = -13 Divide each side by '-11'. t = 1.181818182 Simplifying t = 1.181818182
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