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Simplifying -5(4t + -3) + 8t = 6t + -2 Reorder the terms: -5(-3 + 4t) + 8t = 6t + -2 (-3 * -5 + 4t * -5) + 8t = 6t + -2 (15 + -20t) + 8t = 6t + -2 Combine like terms: -20t + 8t = -12t 15 + -12t = 6t + -2 Reorder the terms: 15 + -12t = -2 + 6t Solving 15 + -12t = -2 + 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 + -12t + -6t = -2 + 6t + -6t Combine like terms: -12t + -6t = -18t 15 + -18t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -18t = -2 + 0 15 + -18t = -2 Add '-15' to each side of the equation. 15 + -15 + -18t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -18t = -2 + -15 -18t = -2 + -15 Combine like terms: -2 + -15 = -17 -18t = -17 Divide each side by '-18'. t = 0.9444444444 Simplifying t = 0.9444444444
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