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Simplifying -5(4t + -3) + 2t = 6t + -8 Reorder the terms: -5(-3 + 4t) + 2t = 6t + -8 (-3 * -5 + 4t * -5) + 2t = 6t + -8 (15 + -20t) + 2t = 6t + -8 Combine like terms: -20t + 2t = -18t 15 + -18t = 6t + -8 Reorder the terms: 15 + -18t = -8 + 6t Solving 15 + -18t = -8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 15 + -18t + -6t = -8 + 6t + -6t Combine like terms: -18t + -6t = -24t 15 + -24t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -24t = -8 + 0 15 + -24t = -8 Add '-15' to each side of the equation. 15 + -15 + -24t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -24t = -8 + -15 -24t = -8 + -15 Combine like terms: -8 + -15 = -23 -24t = -23 Divide each side by '-24'. t = 0.9583333333 Simplifying t = 0.9583333333
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