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Simplifying -5(3t + -4) + 9t = 5t + -6 Reorder the terms: -5(-4 + 3t) + 9t = 5t + -6 (-4 * -5 + 3t * -5) + 9t = 5t + -6 (20 + -15t) + 9t = 5t + -6 Combine like terms: -15t + 9t = -6t 20 + -6t = 5t + -6 Reorder the terms: 20 + -6t = -6 + 5t Solving 20 + -6t = -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 + -6t + -5t = -6 + 5t + -5t Combine like terms: -6t + -5t = -11t 20 + -11t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -11t = -6 + 0 20 + -11t = -6 Add '-20' to each side of the equation. 20 + -20 + -11t = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -11t = -6 + -20 -11t = -6 + -20 Combine like terms: -6 + -20 = -26 -11t = -26 Divide each side by '-11'. t = 2.363636364 Simplifying t = 2.363636364
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