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Simplifying -4(t + -3) + -1(t + 9) = 9 Reorder the terms: -4(-3 + t) + -1(t + 9) = 9 (-3 * -4 + t * -4) + -1(t + 9) = 9 (12 + -4t) + -1(t + 9) = 9 Reorder the terms: 12 + -4t + -1(9 + t) = 9 12 + -4t + (9 * -1 + t * -1) = 9 12 + -4t + (-9 + -1t) = 9 Reorder the terms: 12 + -9 + -4t + -1t = 9 Combine like terms: 12 + -9 = 3 3 + -4t + -1t = 9 Combine like terms: -4t + -1t = -5t 3 + -5t = 9 Solving 3 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5t = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -5t = 9 + -3 -5t = 9 + -3 Combine like terms: 9 + -3 = 6 -5t = 6 Divide each side by '-5'. t = -1.2 Simplifying t = -1.2
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