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Simplifying -3(5t + -5) + 6t = 5t + -2 Reorder the terms: -3(-5 + 5t) + 6t = 5t + -2 (-5 * -3 + 5t * -3) + 6t = 5t + -2 (15 + -15t) + 6t = 5t + -2 Combine like terms: -15t + 6t = -9t 15 + -9t = 5t + -2 Reorder the terms: 15 + -9t = -2 + 5t Solving 15 + -9t = -2 + 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. 15 + -9t + -5t = -2 + 5t + -5t Combine like terms: -9t + -5t = -14t 15 + -14t = -2 + 5t + -5t Combine like terms: 5t + -5t = 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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