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Simplifying -2(t + 2) + 5t = t + 11 Reorder the terms: -2(2 + t) + 5t = t + 11 (2 * -2 + t * -2) + 5t = t + 11 (-4 + -2t) + 5t = t + 11 Combine like terms: -2t + 5t = 3t -4 + 3t = t + 11 Reorder the terms: -4 + 3t = 11 + t Solving -4 + 3t = 11 + 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. -4 + 3t + -1t = 11 + t + -1t Combine like terms: 3t + -1t = 2t -4 + 2t = 11 + t + -1t Combine like terms: t + -1t = 0 -4 + 2t = 11 + 0 -4 + 2t = 11 Add '4' to each side of the equation. -4 + 4 + 2t = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 2t = 11 + 4 2t = 11 + 4 Combine like terms: 11 + 4 = 15 2t = 15 Divide each side by '2'. t = 7.5 Simplifying t = 7.5
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