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Simplifying -5(4t + -3) + 6t = 5t + -8 Reorder the terms: -5(-3 + 4t) + 6t = 5t + -8 (-3 * -5 + 4t * -5) + 6t = 5t + -8 (15 + -20t) + 6t = 5t + -8 Combine like terms: -20t + 6t = -14t 15 + -14t = 5t + -8 Reorder the terms: 15 + -14t = -8 + 5t Solving 15 + -14t = -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 + -14t + -5t = -8 + 5t + -5t Combine like terms: -14t + -5t = -19t 15 + -19t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -19t = -8 + 0 15 + -19t = -8 Add '-15' to each side of the equation. 15 + -15 + -19t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -19t = -8 + -15 -19t = -8 + -15 Combine like terms: -8 + -15 = -23 -19t = -23 Divide each side by '-19'. t = 1.210526316 Simplifying t = 1.210526316
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