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Simplifying -2(4t + -2) + 3t = 5t + -5 Reorder the terms: -2(-2 + 4t) + 3t = 5t + -5 (-2 * -2 + 4t * -2) + 3t = 5t + -5 (4 + -8t) + 3t = 5t + -5 Combine like terms: -8t + 3t = -5t 4 + -5t = 5t + -5 Reorder the terms: 4 + -5t = -5 + 5t Solving 4 + -5t = -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. 4 + -5t + -5t = -5 + 5t + -5t Combine like terms: -5t + -5t = -10t 4 + -10t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -10t = -5 + 0 4 + -10t = -5 Add '-4' to each side of the equation. 4 + -4 + -10t = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -10t = -5 + -4 -10t = -5 + -4 Combine like terms: -5 + -4 = -9 -10t = -9 Divide each side by '-10'. t = 0.9 Simplifying t = 0.9
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