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Simplifying -4(5t + -3) + 5t = 4t + -9 Reorder the terms: -4(-3 + 5t) + 5t = 4t + -9 (-3 * -4 + 5t * -4) + 5t = 4t + -9 (12 + -20t) + 5t = 4t + -9 Combine like terms: -20t + 5t = -15t 12 + -15t = 4t + -9 Reorder the terms: 12 + -15t = -9 + 4t Solving 12 + -15t = -9 + 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 + -15t + -4t = -9 + 4t + -4t Combine like terms: -15t + -4t = -19t 12 + -19t = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -19t = -9 + 0 12 + -19t = -9 Add '-12' to each side of the equation. 12 + -12 + -19t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -19t = -9 + -12 -19t = -9 + -12 Combine like terms: -9 + -12 = -21 -19t = -21 Divide each side by '-19'. t = 1.105263158 Simplifying t = 1.105263158
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