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Simplifying -5(t + -7) + -1(t + 7) = 11 Reorder the terms: -5(-7 + t) + -1(t + 7) = 11 (-7 * -5 + t * -5) + -1(t + 7) = 11 (35 + -5t) + -1(t + 7) = 11 Reorder the terms: 35 + -5t + -1(7 + t) = 11 35 + -5t + (7 * -1 + t * -1) = 11 35 + -5t + (-7 + -1t) = 11 Reorder the terms: 35 + -7 + -5t + -1t = 11 Combine like terms: 35 + -7 = 28 28 + -5t + -1t = 11 Combine like terms: -5t + -1t = -6t 28 + -6t = 11 Solving 28 + -6t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -6t = 11 + -28 Combine like terms: 28 + -28 = 0 0 + -6t = 11 + -28 -6t = 11 + -28 Combine like terms: 11 + -28 = -17 -6t = -17 Divide each side by '-6'. t = 2.833333333 Simplifying t = 2.833333333
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