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Simplifying 5t + -9 = 2(2t + 1) Reorder the terms: -9 + 5t = 2(2t + 1) Reorder the terms: -9 + 5t = 2(1 + 2t) -9 + 5t = (1 * 2 + 2t * 2) -9 + 5t = (2 + 4t) Solving -9 + 5t = 2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -9 + 5t + -4t = 2 + 4t + -4t Combine like terms: 5t + -4t = 1t -9 + 1t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 -9 + 1t = 2 + 0 -9 + 1t = 2 Add '9' to each side of the equation. -9 + 9 + 1t = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 1t = 2 + 9 1t = 2 + 9 Combine like terms: 2 + 9 = 11 1t = 11 Divide each side by '1'. t = 11 Simplifying t = 11
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