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Simplifying -5(3t + -2) + 9t = 5t + -2 Reorder the terms: -5(-2 + 3t) + 9t = 5t + -2 (-2 * -5 + 3t * -5) + 9t = 5t + -2 (10 + -15t) + 9t = 5t + -2 Combine like terms: -15t + 9t = -6t 10 + -6t = 5t + -2 Reorder the terms: 10 + -6t = -2 + 5t Solving 10 + -6t = -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. 10 + -6t + -5t = -2 + 5t + -5t Combine like terms: -6t + -5t = -11t 10 + -11t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -11t = -2 + 0 10 + -11t = -2 Add '-10' to each side of the equation. 10 + -10 + -11t = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -11t = -2 + -10 -11t = -2 + -10 Combine like terms: -2 + -10 = -12 -11t = -12 Divide each side by '-11'. t = 1.090909091 Simplifying t = 1.090909091
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