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Simplifying -4(t + -8) + -1(t + 1) = 9 Reorder the terms: -4(-8 + t) + -1(t + 1) = 9 (-8 * -4 + t * -4) + -1(t + 1) = 9 (32 + -4t) + -1(t + 1) = 9 Reorder the terms: 32 + -4t + -1(1 + t) = 9 32 + -4t + (1 * -1 + t * -1) = 9 32 + -4t + (-1 + -1t) = 9 Reorder the terms: 32 + -1 + -4t + -1t = 9 Combine like terms: 32 + -1 = 31 31 + -4t + -1t = 9 Combine like terms: -4t + -1t = -5t 31 + -5t = 9 Solving 31 + -5t = 9 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 + -5t = 9 + -31 Combine like terms: 31 + -31 = 0 0 + -5t = 9 + -31 -5t = 9 + -31 Combine like terms: 9 + -31 = -22 -5t = -22 Divide each side by '-5'. t = 4.4 Simplifying t = 4.4
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