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Simplifying -5(t + -4) + 8t = 7t + -4 Reorder the terms: -5(-4 + t) + 8t = 7t + -4 (-4 * -5 + t * -5) + 8t = 7t + -4 (20 + -5t) + 8t = 7t + -4 Combine like terms: -5t + 8t = 3t 20 + 3t = 7t + -4 Reorder the terms: 20 + 3t = -4 + 7t Solving 20 + 3t = -4 + 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 + 3t + -7t = -4 + 7t + -7t Combine like terms: 3t + -7t = -4t 20 + -4t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -4t = -4 + 0 20 + -4t = -4 Add '-20' to each side of the equation. 20 + -20 + -4t = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -4t = -4 + -20 -4t = -4 + -20 Combine like terms: -4 + -20 = -24 -4t = -24 Divide each side by '-4'. t = 6 Simplifying t = 6
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