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Simplifying -4(2t + -5) + 3t = 7t + -5 Reorder the terms: -4(-5 + 2t) + 3t = 7t + -5 (-5 * -4 + 2t * -4) + 3t = 7t + -5 (20 + -8t) + 3t = 7t + -5 Combine like terms: -8t + 3t = -5t 20 + -5t = 7t + -5 Reorder the terms: 20 + -5t = -5 + 7t Solving 20 + -5t = -5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 20 + -5t + -7t = -5 + 7t + -7t Combine like terms: -5t + -7t = -12t 20 + -12t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -12t = -5 + 0 20 + -12t = -5 Add '-20' to each side of the equation. 20 + -20 + -12t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -12t = -5 + -20 -12t = -5 + -20 Combine like terms: -5 + -20 = -25 -12t = -25 Divide each side by '-12'. t = 2.083333333 Simplifying t = 2.083333333
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