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Simplifying 24 = 4 + 3(t + 5) Reorder the terms: 24 = 4 + 3(5 + t) 24 = 4 + (5 * 3 + t * 3) 24 = 4 + (15 + 3t) Combine like terms: 4 + 15 = 19 24 = 19 + 3t Solving 24 = 19 + 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. 24 + -3t = 19 + 3t + -3t Combine like terms: 3t + -3t = 0 24 + -3t = 19 + 0 24 + -3t = 19 Add '-24' to each side of the equation. 24 + -24 + -3t = 19 + -24 Combine like terms: 24 + -24 = 0 0 + -3t = 19 + -24 -3t = 19 + -24 Combine like terms: 19 + -24 = -5 -3t = -5 Divide each side by '-3'. t = 1.666666667 Simplifying t = 1.666666667
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