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Simplifying -4(t + -9) + -1(t + 9) = 9 Reorder the terms: -4(-9 + t) + -1(t + 9) = 9 (-9 * -4 + t * -4) + -1(t + 9) = 9 (36 + -4t) + -1(t + 9) = 9 Reorder the terms: 36 + -4t + -1(9 + t) = 9 36 + -4t + (9 * -1 + t * -1) = 9 36 + -4t + (-9 + -1t) = 9 Reorder the terms: 36 + -9 + -4t + -1t = 9 Combine like terms: 36 + -9 = 27 27 + -4t + -1t = 9 Combine like terms: -4t + -1t = -5t 27 + -5t = 9 Solving 27 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -5t = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -5t = 9 + -27 -5t = 9 + -27 Combine like terms: 9 + -27 = -18 -5t = -18 Divide each side by '-5'. t = 3.6 Simplifying t = 3.6
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