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Simplifying -4(5t + -5) + 2t = 5t + -6 Reorder the terms: -4(-5 + 5t) + 2t = 5t + -6 (-5 * -4 + 5t * -4) + 2t = 5t + -6 (20 + -20t) + 2t = 5t + -6 Combine like terms: -20t + 2t = -18t 20 + -18t = 5t + -6 Reorder the terms: 20 + -18t = -6 + 5t Solving 20 + -18t = -6 + 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. 20 + -18t + -5t = -6 + 5t + -5t Combine like terms: -18t + -5t = -23t 20 + -23t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -23t = -6 + 0 20 + -23t = -6 Add '-20' to each side of the equation. 20 + -20 + -23t = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -23t = -6 + -20 -23t = -6 + -20 Combine like terms: -6 + -20 = -26 -23t = -26 Divide each side by '-23'. t = 1.130434783 Simplifying t = 1.130434783
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