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Simplifying -4(2t + -2) + 2t = 5t + -8 Reorder the terms: -4(-2 + 2t) + 2t = 5t + -8 (-2 * -4 + 2t * -4) + 2t = 5t + -8 (8 + -8t) + 2t = 5t + -8 Combine like terms: -8t + 2t = -6t 8 + -6t = 5t + -8 Reorder the terms: 8 + -6t = -8 + 5t Solving 8 + -6t = -8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 8 + -6t + -5t = -8 + 5t + -5t Combine like terms: -6t + -5t = -11t 8 + -11t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -11t = -8 + 0 8 + -11t = -8 Add '-8' to each side of the equation. 8 + -8 + -11t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -11t = -8 + -8 -11t = -8 + -8 Combine like terms: -8 + -8 = -16 -11t = -16 Divide each side by '-11'. t = 1.454545455 Simplifying t = 1.454545455
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