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Simplifying 2(2t + -3) + t = 12 + t Reorder the terms: 2(-3 + 2t) + t = 12 + t (-3 * 2 + 2t * 2) + t = 12 + t (-6 + 4t) + t = 12 + t Combine like terms: 4t + t = 5t -6 + 5t = 12 + t Solving -6 + 5t = 12 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -6 + 5t + -1t = 12 + t + -1t Combine like terms: 5t + -1t = 4t -6 + 4t = 12 + t + -1t Combine like terms: t + -1t = 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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