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Simplifying 3(5t + -3) = 3(2t + 6) Reorder the terms: 3(-3 + 5t) = 3(2t + 6) (-3 * 3 + 5t * 3) = 3(2t + 6) (-9 + 15t) = 3(2t + 6) Reorder the terms: -9 + 15t = 3(6 + 2t) -9 + 15t = (6 * 3 + 2t * 3) -9 + 15t = (18 + 6t) Solving -9 + 15t = 18 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -9 + 15t + -6t = 18 + 6t + -6t Combine like terms: 15t + -6t = 9t -9 + 9t = 18 + 6t + -6t Combine like terms: 6t + -6t = 0 -9 + 9t = 18 + 0 -9 + 9t = 18 Add '9' to each side of the equation. -9 + 9 + 9t = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 9t = 18 + 9 9t = 18 + 9 Combine like terms: 18 + 9 = 27 9t = 27 Divide each side by '9'. t = 3 Simplifying t = 3
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