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Simplifying 3t + 4 = 2(t + 11) Reorder the terms: 4 + 3t = 2(t + 11) Reorder the terms: 4 + 3t = 2(11 + t) 4 + 3t = (11 * 2 + t * 2) 4 + 3t = (22 + 2t) Solving 4 + 3t = 22 + 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. 4 + 3t + -2t = 22 + 2t + -2t Combine like terms: 3t + -2t = 1t 4 + 1t = 22 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + 1t = 22 + 0 4 + 1t = 22 Add '-4' to each side of the equation. 4 + -4 + 1t = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 1t = 22 + -4 1t = 22 + -4 Combine like terms: 22 + -4 = 18 1t = 18 Divide each side by '1'. t = 18 Simplifying t = 18
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