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Simplifying -5(t + -4) + 7t = 4t + -5 Reorder the terms: -5(-4 + t) + 7t = 4t + -5 (-4 * -5 + t * -5) + 7t = 4t + -5 (20 + -5t) + 7t = 4t + -5 Combine like terms: -5t + 7t = 2t 20 + 2t = 4t + -5 Reorder the terms: 20 + 2t = -5 + 4t Solving 20 + 2t = -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. 20 + 2t + -4t = -5 + 4t + -4t Combine like terms: 2t + -4t = -2t 20 + -2t = -5 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -2t = -5 + 0 20 + -2t = -5 Add '-20' to each side of the equation. 20 + -20 + -2t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -2t = -5 + -20 -2t = -5 + -20 Combine like terms: -5 + -20 = -25 -2t = -25 Divide each side by '-2'. t = 12.5 Simplifying t = 12.5
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