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Simplifying -5(t + -4) + -1(t + 1) = 2 Reorder the terms: -5(-4 + t) + -1(t + 1) = 2 (-4 * -5 + t * -5) + -1(t + 1) = 2 (20 + -5t) + -1(t + 1) = 2 Reorder the terms: 20 + -5t + -1(1 + t) = 2 20 + -5t + (1 * -1 + t * -1) = 2 20 + -5t + (-1 + -1t) = 2 Reorder the terms: 20 + -1 + -5t + -1t = 2 Combine like terms: 20 + -1 = 19 19 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 19 + -6t = 2 Solving 19 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -6t = 2 + -19 Combine like terms: 19 + -19 = 0 0 + -6t = 2 + -19 -6t = 2 + -19 Combine like terms: 2 + -19 = -17 -6t = -17 Divide each side by '-6'. t = 2.833333333 Simplifying t = 2.833333333
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