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Simplifying -5(3t + -2) + 7t = 3t + -9 Reorder the terms: -5(-2 + 3t) + 7t = 3t + -9 (-2 * -5 + 3t * -5) + 7t = 3t + -9 (10 + -15t) + 7t = 3t + -9 Combine like terms: -15t + 7t = -8t 10 + -8t = 3t + -9 Reorder the terms: 10 + -8t = -9 + 3t Solving 10 + -8t = -9 + 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. 10 + -8t + -3t = -9 + 3t + -3t Combine like terms: -8t + -3t = -11t 10 + -11t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -11t = -9 + 0 10 + -11t = -9 Add '-10' to each side of the equation. 10 + -10 + -11t = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -11t = -9 + -10 -11t = -9 + -10 Combine like terms: -9 + -10 = -19 -11t = -19 Divide each side by '-11'. t = 1.727272727 Simplifying t = 1.727272727
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