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Simplifying -4(5t + -2) + 2t = 3t + -5 Reorder the terms: -4(-2 + 5t) + 2t = 3t + -5 (-2 * -4 + 5t * -4) + 2t = 3t + -5 (8 + -20t) + 2t = 3t + -5 Combine like terms: -20t + 2t = -18t 8 + -18t = 3t + -5 Reorder the terms: 8 + -18t = -5 + 3t Solving 8 + -18t = -5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 8 + -18t + -3t = -5 + 3t + -3t Combine like terms: -18t + -3t = -21t 8 + -21t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + -21t = -5 + 0 8 + -21t = -5 Add '-8' to each side of the equation. 8 + -8 + -21t = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -21t = -5 + -8 -21t = -5 + -8 Combine like terms: -5 + -8 = -13 -21t = -13 Divide each side by '-21'. t = 0.619047619 Simplifying t = 0.619047619
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