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Simplifying -4(3t + -5) + 7t = 3t + -5 Reorder the terms: -4(-5 + 3t) + 7t = 3t + -5 (-5 * -4 + 3t * -4) + 7t = 3t + -5 (20 + -12t) + 7t = 3t + -5 Combine like terms: -12t + 7t = -5t 20 + -5t = 3t + -5 Reorder the terms: 20 + -5t = -5 + 3t Solving 20 + -5t = -5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 20 + -5t + -3t = -5 + 3t + -3t Combine like terms: -5t + -3t = -8t 20 + -8t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + -8t = -5 + 0 20 + -8t = -5 Add '-20' to each side of the equation. 20 + -20 + -8t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -8t = -5 + -20 -8t = -5 + -20 Combine like terms: -5 + -20 = -25 -8t = -25 Divide each side by '-8'. t = 3.125 Simplifying t = 3.125
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