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Simplifying 5(2 + -1t) + -2(2t + 1) = 26 (2 * 5 + -1t * 5) + -2(2t + 1) = 26 (10 + -5t) + -2(2t + 1) = 26 Reorder the terms: 10 + -5t + -2(1 + 2t) = 26 10 + -5t + (1 * -2 + 2t * -2) = 26 10 + -5t + (-2 + -4t) = 26 Reorder the terms: 10 + -2 + -5t + -4t = 26 Combine like terms: 10 + -2 = 8 8 + -5t + -4t = 26 Combine like terms: -5t + -4t = -9t 8 + -9t = 26 Solving 8 + -9t = 26 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9t = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = 26 + -8 -9t = 26 + -8 Combine like terms: 26 + -8 = 18 -9t = 18 Divide each side by '-9'. t = -2 Simplifying t = -2
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