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Simplifying -9(t + -5) + -1(t + 4) = 11 Reorder the terms: -9(-5 + t) + -1(t + 4) = 11 (-5 * -9 + t * -9) + -1(t + 4) = 11 (45 + -9t) + -1(t + 4) = 11 Reorder the terms: 45 + -9t + -1(4 + t) = 11 45 + -9t + (4 * -1 + t * -1) = 11 45 + -9t + (-4 + -1t) = 11 Reorder the terms: 45 + -4 + -9t + -1t = 11 Combine like terms: 45 + -4 = 41 41 + -9t + -1t = 11 Combine like terms: -9t + -1t = -10t 41 + -10t = 11 Solving 41 + -10t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -10t = 11 + -41 Combine like terms: 41 + -41 = 0 0 + -10t = 11 + -41 -10t = 11 + -41 Combine like terms: 11 + -41 = -30 -10t = -30 Divide each side by '-10'. t = 3 Simplifying t = 3
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