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Simplifying -5(t + -4) + -1(t + 5) = 11 Reorder the terms: -5(-4 + t) + -1(t + 5) = 11 (-4 * -5 + t * -5) + -1(t + 5) = 11 (20 + -5t) + -1(t + 5) = 11 Reorder the terms: 20 + -5t + -1(5 + t) = 11 20 + -5t + (5 * -1 + t * -1) = 11 20 + -5t + (-5 + -1t) = 11 Reorder the terms: 20 + -5 + -5t + -1t = 11 Combine like terms: 20 + -5 = 15 15 + -5t + -1t = 11 Combine like terms: -5t + -1t = -6t 15 + -6t = 11 Solving 15 + -6t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -6t = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -6t = 11 + -15 -6t = 11 + -15 Combine like terms: 11 + -15 = -4 -6t = -4 Divide each side by '-6'. t = 0.6666666667 Simplifying t = 0.6666666667
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