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