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Simplifying 4(t + 5) + 2 = t + 3 Reorder the terms: 4(5 + t) + 2 = t + 3 (5 * 4 + t * 4) + 2 = t + 3 (20 + 4t) + 2 = t + 3 Reorder the terms: 20 + 2 + 4t = t + 3 Combine like terms: 20 + 2 = 22 22 + 4t = t + 3 Reorder the terms: 22 + 4t = 3 + t Solving 22 + 4t = 3 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 22 + 4t + -1t = 3 + t + -1t Combine like terms: 4t + -1t = 3t 22 + 3t = 3 + t + -1t Combine like terms: t + -1t = 0 22 + 3t = 3 + 0 22 + 3t = 3 Add '-22' to each side of the equation. 22 + -22 + 3t = 3 + -22 Combine like terms: 22 + -22 = 0 0 + 3t = 3 + -22 3t = 3 + -22 Combine like terms: 3 + -22 = -19 3t = -19 Divide each side by '3'. t = -6.333333333 Simplifying t = -6.333333333
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