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Simplifying -5(t + -7) + -1(t + 4) = 2 Reorder the terms: -5(-7 + t) + -1(t + 4) = 2 (-7 * -5 + t * -5) + -1(t + 4) = 2 (35 + -5t) + -1(t + 4) = 2 Reorder the terms: 35 + -5t + -1(4 + t) = 2 35 + -5t + (4 * -1 + t * -1) = 2 35 + -5t + (-4 + -1t) = 2 Reorder the terms: 35 + -4 + -5t + -1t = 2 Combine like terms: 35 + -4 = 31 31 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 31 + -6t = 2 Solving 31 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -6t = 2 + -31 Combine like terms: 31 + -31 = 0 0 + -6t = 2 + -31 -6t = 2 + -31 Combine like terms: 2 + -31 = -29 -6t = -29 Divide each side by '-6'. t = 4.833333333 Simplifying t = 4.833333333
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