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Simplifying 4(t + 5) = 7 + -3t Reorder the terms: 4(5 + t) = 7 + -3t (5 * 4 + t * 4) = 7 + -3t (20 + 4t) = 7 + -3t Solving 20 + 4t = 7 + -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 + 4t + 3t = 7 + -3t + 3t Combine like terms: 4t + 3t = 7t 20 + 7t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 20 + 7t = 7 + 0 20 + 7t = 7 Add '-20' to each side of the equation. 20 + -20 + 7t = 7 + -20 Combine like terms: 20 + -20 = 0 0 + 7t = 7 + -20 7t = 7 + -20 Combine like terms: 7 + -20 = -13 7t = -13 Divide each side by '7'. t = -1.857142857 Simplifying t = -1.857142857
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