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Simplifying -5(3t + -2) + 8t = 2t + -3 Reorder the terms: -5(-2 + 3t) + 8t = 2t + -3 (-2 * -5 + 3t * -5) + 8t = 2t + -3 (10 + -15t) + 8t = 2t + -3 Combine like terms: -15t + 8t = -7t 10 + -7t = 2t + -3 Reorder the terms: 10 + -7t = -3 + 2t Solving 10 + -7t = -3 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 10 + -7t + -2t = -3 + 2t + -2t Combine like terms: -7t + -2t = -9t 10 + -9t = -3 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -9t = -3 + 0 10 + -9t = -3 Add '-10' to each side of the equation. 10 + -10 + -9t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -9t = -3 + -10 -9t = -3 + -10 Combine like terms: -3 + -10 = -13 -9t = -13 Divide each side by '-9'. t = 1.444444444 Simplifying t = 1.444444444
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