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Simplifying -4(5t + -5) + 6t = 4t + -3 Reorder the terms: -4(-5 + 5t) + 6t = 4t + -3 (-5 * -4 + 5t * -4) + 6t = 4t + -3 (20 + -20t) + 6t = 4t + -3 Combine like terms: -20t + 6t = -14t 20 + -14t = 4t + -3 Reorder the terms: 20 + -14t = -3 + 4t Solving 20 + -14t = -3 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 20 + -14t + -4t = -3 + 4t + -4t Combine like terms: -14t + -4t = -18t 20 + -18t = -3 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -18t = -3 + 0 20 + -18t = -3 Add '-20' to each side of the equation. 20 + -20 + -18t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -18t = -3 + -20 -18t = -3 + -20 Combine like terms: -3 + -20 = -23 -18t = -23 Divide each side by '-18'. t = 1.277777778 Simplifying t = 1.277777778
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