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Simplifying -5(4t + -2) + 2t = 5t + -4 Reorder the terms: -5(-2 + 4t) + 2t = 5t + -4 (-2 * -5 + 4t * -5) + 2t = 5t + -4 (10 + -20t) + 2t = 5t + -4 Combine like terms: -20t + 2t = -18t 10 + -18t = 5t + -4 Reorder the terms: 10 + -18t = -4 + 5t Solving 10 + -18t = -4 + 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. 10 + -18t + -5t = -4 + 5t + -5t Combine like terms: -18t + -5t = -23t 10 + -23t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -23t = -4 + 0 10 + -23t = -4 Add '-10' to each side of the equation. 10 + -10 + -23t = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -23t = -4 + -10 -23t = -4 + -10 Combine like terms: -4 + -10 = -14 -23t = -14 Divide each side by '-23'. t = 0.6086956522 Simplifying t = 0.6086956522
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