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Simplifying 5(2t + 3) = 2t + 11 Reorder the terms: 5(3 + 2t) = 2t + 11 (3 * 5 + 2t * 5) = 2t + 11 (15 + 10t) = 2t + 11 Reorder the terms: 15 + 10t = 11 + 2t Solving 15 + 10t = 11 + 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. 15 + 10t + -2t = 11 + 2t + -2t Combine like terms: 10t + -2t = 8t 15 + 8t = 11 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + 8t = 11 + 0 15 + 8t = 11 Add '-15' to each side of the equation. 15 + -15 + 8t = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 8t = 11 + -15 8t = 11 + -15 Combine like terms: 11 + -15 = -4 8t = -4 Divide each side by '8'. t = -0.5 Simplifying t = -0.5
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