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Simplifying -3(5t + -5) + 9t = 6t + -2 Reorder the terms: -3(-5 + 5t) + 9t = 6t + -2 (-5 * -3 + 5t * -3) + 9t = 6t + -2 (15 + -15t) + 9t = 6t + -2 Combine like terms: -15t + 9t = -6t 15 + -6t = 6t + -2 Reorder the terms: 15 + -6t = -2 + 6t Solving 15 + -6t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 15 + -6t + -6t = -2 + 6t + -6t Combine like terms: -6t + -6t = -12t 15 + -12t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -12t = -2 + 0 15 + -12t = -2 Add '-15' to each side of the equation. 15 + -15 + -12t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -12t = -2 + -15 -12t = -2 + -15 Combine like terms: -2 + -15 = -17 -12t = -17 Divide each side by '-12'. t = 1.416666667 Simplifying t = 1.416666667
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