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Simplifying -5(2t + -3) + 2t = 8t + -6 Reorder the terms: -5(-3 + 2t) + 2t = 8t + -6 (-3 * -5 + 2t * -5) + 2t = 8t + -6 (15 + -10t) + 2t = 8t + -6 Combine like terms: -10t + 2t = -8t 15 + -8t = 8t + -6 Reorder the terms: 15 + -8t = -6 + 8t Solving 15 + -8t = -6 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 15 + -8t + -8t = -6 + 8t + -8t Combine like terms: -8t + -8t = -16t 15 + -16t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -16t = -6 + 0 15 + -16t = -6 Add '-15' to each side of the equation. 15 + -15 + -16t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -16t = -6 + -15 -16t = -6 + -15 Combine like terms: -6 + -15 = -21 -16t = -21 Divide each side by '-16'. t = 1.3125 Simplifying t = 1.3125
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