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Simplifying -9(t + -2) + -4(4t + 1) = -11 Reorder the terms: -9(-2 + t) + -4(4t + 1) = -11 (-2 * -9 + t * -9) + -4(4t + 1) = -11 (18 + -9t) + -4(4t + 1) = -11 Reorder the terms: 18 + -9t + -4(1 + 4t) = -11 18 + -9t + (1 * -4 + 4t * -4) = -11 18 + -9t + (-4 + -16t) = -11 Reorder the terms: 18 + -4 + -9t + -16t = -11 Combine like terms: 18 + -4 = 14 14 + -9t + -16t = -11 Combine like terms: -9t + -16t = -25t 14 + -25t = -11 Solving 14 + -25t = -11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -25t = -11 + -14 Combine like terms: 14 + -14 = 0 0 + -25t = -11 + -14 -25t = -11 + -14 Combine like terms: -11 + -14 = -25 -25t = -25 Divide each side by '-25'. t = 1 Simplifying t = 1
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