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Simplifying -2(t + -4) + 4t = 5t + -5 Reorder the terms: -2(-4 + t) + 4t = 5t + -5 (-4 * -2 + t * -2) + 4t = 5t + -5 (8 + -2t) + 4t = 5t + -5 Combine like terms: -2t + 4t = 2t 8 + 2t = 5t + -5 Reorder the terms: 8 + 2t = -5 + 5t Solving 8 + 2t = -5 + 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 + 2t + -5t = -5 + 5t + -5t Combine like terms: 2t + -5t = -3t 8 + -3t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -3t = -5 + 0 8 + -3t = -5 Add '-8' to each side of the equation. 8 + -8 + -3t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -5 + -8 -3t = -5 + -8 Combine like terms: -5 + -8 = -13 -3t = -13 Divide each side by '-3'. t = 4.333333333 Simplifying t = 4.333333333
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