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Simplifying -2(4t + -2) + 5t = 2t + -5 Reorder the terms: -2(-2 + 4t) + 5t = 2t + -5 (-2 * -2 + 4t * -2) + 5t = 2t + -5 (4 + -8t) + 5t = 2t + -5 Combine like terms: -8t + 5t = -3t 4 + -3t = 2t + -5 Reorder the terms: 4 + -3t = -5 + 2t Solving 4 + -3t = -5 + 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. 4 + -3t + -2t = -5 + 2t + -2t Combine like terms: -3t + -2t = -5t 4 + -5t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + -5t = -5 + 0 4 + -5t = -5 Add '-4' to each side of the equation. 4 + -4 + -5t = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = -5 + -4 -5t = -5 + -4 Combine like terms: -5 + -4 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8
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