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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 = -56 7t = -56 Divide each side by '7'. t = -8 Simplifying t = -8
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