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Simplifying -5(t + -4) + 7t = 5t + -5 Reorder the terms: -5(-4 + t) + 7t = 5t + -5 (-4 * -5 + t * -5) + 7t = 5t + -5 (20 + -5t) + 7t = 5t + -5 Combine like terms: -5t + 7t = 2t 20 + 2t = 5t + -5 Reorder the terms: 20 + 2t = -5 + 5t Solving 20 + 2t = -5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 20 + 2t + -5t = -5 + 5t + -5t Combine like terms: 2t + -5t = -3t 20 + -3t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -3t = -5 + 0 20 + -3t = -5 Add '-20' to each side of the equation. 20 + -20 + -3t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = -5 + -20 -3t = -5 + -20 Combine like terms: -5 + -20 = -25 -3t = -25 Divide each side by '-3'. t = 8.333333333 Simplifying t = 8.333333333
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