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Simplifying 42 = 7(t + 1) Reorder the terms: 42 = 7(1 + t) 42 = (1 * 7 + t * 7) 42 = (7 + 7t) Solving 42 = 7 + 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. 42 + -7t = 7 + 7t + -7t Combine like terms: 7t + -7t = 0 42 + -7t = 7 + 0 42 + -7t = 7 Add '-42' to each side of the equation. 42 + -42 + -7t = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -7t = 7 + -42 -7t = 7 + -42 Combine like terms: 7 + -42 = -35 -7t = -35 Divide each side by '-7'. t = 5 Simplifying t = 5
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