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Simplifying 3(9t + 1) = -3(-7t + -3) Reorder the terms: 3(1 + 9t) = -3(-7t + -3) (1 * 3 + 9t * 3) = -3(-7t + -3) (3 + 27t) = -3(-7t + -3) Reorder the terms: 3 + 27t = -3(-3 + -7t) 3 + 27t = (-3 * -3 + -7t * -3) 3 + 27t = (9 + 21t) Solving 3 + 27t = 9 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. 3 + 27t + -21t = 9 + 21t + -21t Combine like terms: 27t + -21t = 6t 3 + 6t = 9 + 21t + -21t Combine like terms: 21t + -21t = 0 3 + 6t = 9 + 0 3 + 6t = 9 Add '-3' to each side of the equation. 3 + -3 + 6t = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 6t = 9 + -3 6t = 9 + -3 Combine like terms: 9 + -3 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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