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Simplifying -4(2t + -4) + 5t = 8t + -5 Reorder the terms: -4(-4 + 2t) + 5t = 8t + -5 (-4 * -4 + 2t * -4) + 5t = 8t + -5 (16 + -8t) + 5t = 8t + -5 Combine like terms: -8t + 5t = -3t 16 + -3t = 8t + -5 Reorder the terms: 16 + -3t = -5 + 8t Solving 16 + -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. 16 + -3t + -8t = -5 + 8t + -8t Combine like terms: -3t + -8t = -11t 16 + -11t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 16 + -11t = -5 + 0 16 + -11t = -5 Add '-16' to each side of the equation. 16 + -16 + -11t = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -11t = -5 + -16 -11t = -5 + -16 Combine like terms: -5 + -16 = -21 -11t = -21 Divide each side by '-11'. t = 1.909090909 Simplifying t = 1.909090909
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