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Simplifying -4(t + -8) + -1(t + 4) = 9 Reorder the terms: -4(-8 + t) + -1(t + 4) = 9 (-8 * -4 + t * -4) + -1(t + 4) = 9 (32 + -4t) + -1(t + 4) = 9 Reorder the terms: 32 + -4t + -1(4 + t) = 9 32 + -4t + (4 * -1 + t * -1) = 9 32 + -4t + (-4 + -1t) = 9 Reorder the terms: 32 + -4 + -4t + -1t = 9 Combine like terms: 32 + -4 = 28 28 + -4t + -1t = 9 Combine like terms: -4t + -1t = -5t 28 + -5t = 9 Solving 28 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -5t = 9 + -28 Combine like terms: 28 + -28 = 0 0 + -5t = 9 + -28 -5t = 9 + -28 Combine like terms: 9 + -28 = -19 -5t = -19 Divide each side by '-5'. t = 3.8 Simplifying t = 3.8
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