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Simplifying 42 = 23t + 4(t + 5) Reorder the terms: 42 = 23t + 4(5 + t) 42 = 23t + (5 * 4 + t * 4) 42 = 23t + (20 + 4t) Reorder the terms: 42 = 20 + 23t + 4t Combine like terms: 23t + 4t = 27t 42 = 20 + 27t Solving 42 = 20 + 27t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27t' to each side of the equation. 42 + -27t = 20 + 27t + -27t Combine like terms: 27t + -27t = 0 42 + -27t = 20 + 0 42 + -27t = 20 Add '-42' to each side of the equation. 42 + -42 + -27t = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -27t = 20 + -42 -27t = 20 + -42 Combine like terms: 20 + -42 = -22 -27t = -22 Divide each side by '-27'. t = 0.8148148148 Simplifying t = 0.8148148148
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