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Simplifying 2(t + -3) = 12 + -2t Reorder the terms: 2(-3 + t) = 12 + -2t (-3 * 2 + t * 2) = 12 + -2t (-6 + 2t) = 12 + -2t Solving -6 + 2t = 12 + -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. -6 + 2t + 2t = 12 + -2t + 2t Combine like terms: 2t + 2t = 4t -6 + 4t = 12 + -2t + 2t Combine like terms: -2t + 2t = 0 -6 + 4t = 12 + 0 -6 + 4t = 12 Add '6' to each side of the equation. -6 + 6 + 4t = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4t = 12 + 6 4t = 12 + 6 Combine like terms: 12 + 6 = 18 4t = 18 Divide each side by '4'. t = 4.5 Simplifying t = 4.5
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