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Simplifying -5(t + -2) + -1(t + 7) = 11 Reorder the terms: -5(-2 + t) + -1(t + 7) = 11 (-2 * -5 + t * -5) + -1(t + 7) = 11 (10 + -5t) + -1(t + 7) = 11 Reorder the terms: 10 + -5t + -1(7 + t) = 11 10 + -5t + (7 * -1 + t * -1) = 11 10 + -5t + (-7 + -1t) = 11 Reorder the terms: 10 + -7 + -5t + -1t = 11 Combine like terms: 10 + -7 = 3 3 + -5t + -1t = 11 Combine like terms: -5t + -1t = -6t 3 + -6t = 11 Solving 3 + -6t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6t = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -6t = 11 + -3 -6t = 11 + -3 Combine like terms: 11 + -3 = 8 -6t = 8 Divide each side by '-6'. t = -1.333333333 Simplifying t = -1.333333333
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