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Simplifying -5(2t + -3) + 4t = 5t + -8 Reorder the terms: -5(-3 + 2t) + 4t = 5t + -8 (-3 * -5 + 2t * -5) + 4t = 5t + -8 (15 + -10t) + 4t = 5t + -8 Combine like terms: -10t + 4t = -6t 15 + -6t = 5t + -8 Reorder the terms: 15 + -6t = -8 + 5t Solving 15 + -6t = -8 + 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. 15 + -6t + -5t = -8 + 5t + -5t Combine like terms: -6t + -5t = -11t 15 + -11t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -11t = -8 + 0 15 + -11t = -8 Add '-15' to each side of the equation. 15 + -15 + -11t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -11t = -8 + -15 -11t = -8 + -15 Combine like terms: -8 + -15 = -23 -11t = -23 Divide each side by '-11'. t = 2.090909091 Simplifying t = 2.090909091
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