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Simplifying 49 = 7(t + 1) Reorder the terms: 49 = 7(1 + t) 49 = (1 * 7 + t * 7) 49 = (7 + 7t) Solving 49 = 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. 49 + -7t = 7 + 7t + -7t Combine like terms: 7t + -7t = 0 49 + -7t = 7 + 0 49 + -7t = 7 Add '-49' to each side of the equation. 49 + -49 + -7t = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -7t = 7 + -49 -7t = 7 + -49 Combine like terms: 7 + -49 = -42 -7t = -42 Divide each side by '-7'. t = 6 Simplifying t = 6
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