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Simplifying -4(5t + -3) + 6t = 4t + -5 Reorder the terms: -4(-3 + 5t) + 6t = 4t + -5 (-3 * -4 + 5t * -4) + 6t = 4t + -5 (12 + -20t) + 6t = 4t + -5 Combine like terms: -20t + 6t = -14t 12 + -14t = 4t + -5 Reorder the terms: 12 + -14t = -5 + 4t Solving 12 + -14t = -5 + 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. 12 + -14t + -4t = -5 + 4t + -4t Combine like terms: -14t + -4t = -18t 12 + -18t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -18t = -5 + 0 12 + -18t = -5 Add '-12' to each side of the equation. 12 + -12 + -18t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -18t = -5 + -12 -18t = -5 + -12 Combine like terms: -5 + -12 = -17 -18t = -17 Divide each side by '-18'. t = 0.9444444444 Simplifying t = 0.9444444444
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