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Simplifying -5(t + -4) + -1(t + 2) = 11 Reorder the terms: -5(-4 + t) + -1(t + 2) = 11 (-4 * -5 + t * -5) + -1(t + 2) = 11 (20 + -5t) + -1(t + 2) = 11 Reorder the terms: 20 + -5t + -1(2 + t) = 11 20 + -5t + (2 * -1 + t * -1) = 11 20 + -5t + (-2 + -1t) = 11 Reorder the terms: 20 + -2 + -5t + -1t = 11 Combine like terms: 20 + -2 = 18 18 + -5t + -1t = 11 Combine like terms: -5t + -1t = -6t 18 + -6t = 11 Solving 18 + -6t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -6t = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -6t = 11 + -18 -6t = 11 + -18 Combine like terms: 11 + -18 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667
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