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Simplifying 3(2t + -1) = 2t + 9 Reorder the terms: 3(-1 + 2t) = 2t + 9 (-1 * 3 + 2t * 3) = 2t + 9 (-3 + 6t) = 2t + 9 Reorder the terms: -3 + 6t = 9 + 2t Solving -3 + 6t = 9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -3 + 6t + -2t = 9 + 2t + -2t Combine like terms: 6t + -2t = 4t -3 + 4t = 9 + 2t + -2t Combine like terms: 2t + -2t = 0 -3 + 4t = 9 + 0 -3 + 4t = 9 Add '3' to each side of the equation. -3 + 3 + 4t = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4t = 9 + 3 4t = 9 + 3 Combine like terms: 9 + 3 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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