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Simplifying 9 = 3t + -1(-7t + 1) Reorder the terms: 9 = 3t + -1(1 + -7t) 9 = 3t + (1 * -1 + -7t * -1) 9 = 3t + (-1 + 7t) Reorder the terms: 9 = -1 + 3t + 7t Combine like terms: 3t + 7t = 10t 9 = -1 + 10t Solving 9 = -1 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 9 + -10t = -1 + 10t + -10t Combine like terms: 10t + -10t = 0 9 + -10t = -1 + 0 9 + -10t = -1 Add '-9' to each side of the equation. 9 + -9 + -10t = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -10t = -1 + -9 -10t = -1 + -9 Combine like terms: -1 + -9 = -10 -10t = -10 Divide each side by '-10'. t = 1 Simplifying t = 1
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