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Simplifying -5(t + -4) + -1(t + 9) = 2 Reorder the terms: -5(-4 + t) + -1(t + 9) = 2 (-4 * -5 + t * -5) + -1(t + 9) = 2 (20 + -5t) + -1(t + 9) = 2 Reorder the terms: 20 + -5t + -1(9 + t) = 2 20 + -5t + (9 * -1 + t * -1) = 2 20 + -5t + (-9 + -1t) = 2 Reorder the terms: 20 + -9 + -5t + -1t = 2 Combine like terms: 20 + -9 = 11 11 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 11 + -6t = 2 Solving 11 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6t = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -6t = 2 + -11 -6t = 2 + -11 Combine like terms: 2 + -11 = -9 -6t = -9 Divide each side by '-6'. t = 1.5 Simplifying t = 1.5
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