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Simplifying -5(3t + -4) + 4t = 7t + -5 Reorder the terms: -5(-4 + 3t) + 4t = 7t + -5 (-4 * -5 + 3t * -5) + 4t = 7t + -5 (20 + -15t) + 4t = 7t + -5 Combine like terms: -15t + 4t = -11t 20 + -11t = 7t + -5 Reorder the terms: 20 + -11t = -5 + 7t Solving 20 + -11t = -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 + -11t + -7t = -5 + 7t + -7t Combine like terms: -11t + -7t = -18t 20 + -18t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -18t = -5 + 0 20 + -18t = -5 Add '-20' to each side of the equation. 20 + -20 + -18t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -18t = -5 + -20 -18t = -5 + -20 Combine like terms: -5 + -20 = -25 -18t = -25 Divide each side by '-18'. t = 1.388888889 Simplifying t = 1.388888889
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