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Simplifying -3(5t + -5) + 4t = 3t + -2 Reorder the terms: -3(-5 + 5t) + 4t = 3t + -2 (-5 * -3 + 5t * -3) + 4t = 3t + -2 (15 + -15t) + 4t = 3t + -2 Combine like terms: -15t + 4t = -11t 15 + -11t = 3t + -2 Reorder the terms: 15 + -11t = -2 + 3t Solving 15 + -11t = -2 + 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 + -11t + -3t = -2 + 3t + -3t Combine like terms: -11t + -3t = -14t 15 + -14t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -14t = -2 + 0 15 + -14t = -2 Add '-15' to each side of the equation. 15 + -15 + -14t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -14t = -2 + -15 -14t = -2 + -15 Combine like terms: -2 + -15 = -17 -14t = -17 Divide each side by '-14'. t = 1.214285714 Simplifying t = 1.214285714
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