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Simplifying -3(5t + -5) + 7t = 3t + -5 Reorder the terms: -3(-5 + 5t) + 7t = 3t + -5 (-5 * -3 + 5t * -3) + 7t = 3t + -5 (15 + -15t) + 7t = 3t + -5 Combine like terms: -15t + 7t = -8t 15 + -8t = 3t + -5 Reorder the terms: 15 + -8t = -5 + 3t Solving 15 + -8t = -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. 15 + -8t + -3t = -5 + 3t + -3t Combine like terms: -8t + -3t = -11t 15 + -11t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -11t = -5 + 0 15 + -11t = -5 Add '-15' to each side of the equation. 15 + -15 + -11t = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -11t = -5 + -15 -11t = -5 + -15 Combine like terms: -5 + -15 = -20 -11t = -20 Divide each side by '-11'. t = 1.818181818 Simplifying t = 1.818181818
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