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Simplifying -5(t + -5) + -2(2t + 1) = -13 Reorder the terms: -5(-5 + t) + -2(2t + 1) = -13 (-5 * -5 + t * -5) + -2(2t + 1) = -13 (25 + -5t) + -2(2t + 1) = -13 Reorder the terms: 25 + -5t + -2(1 + 2t) = -13 25 + -5t + (1 * -2 + 2t * -2) = -13 25 + -5t + (-2 + -4t) = -13 Reorder the terms: 25 + -2 + -5t + -4t = -13 Combine like terms: 25 + -2 = 23 23 + -5t + -4t = -13 Combine like terms: -5t + -4t = -9t 23 + -9t = -13 Solving 23 + -9t = -13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -9t = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -9t = -13 + -23 -9t = -13 + -23 Combine like terms: -13 + -23 = -36 -9t = -36 Divide each side by '-9'. t = 4 Simplifying t = 4
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