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Simplifying -4(t + -8) + -1(t + 7) = 9 Reorder the terms: -4(-8 + t) + -1(t + 7) = 9 (-8 * -4 + t * -4) + -1(t + 7) = 9 (32 + -4t) + -1(t + 7) = 9 Reorder the terms: 32 + -4t + -1(7 + t) = 9 32 + -4t + (7 * -1 + t * -1) = 9 32 + -4t + (-7 + -1t) = 9 Reorder the terms: 32 + -7 + -4t + -1t = 9 Combine like terms: 32 + -7 = 25 25 + -4t + -1t = 9 Combine like terms: -4t + -1t = -5t 25 + -5t = 9 Solving 25 + -5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -5t = 9 + -25 Combine like terms: 25 + -25 = 0 0 + -5t = 9 + -25 -5t = 9 + -25 Combine like terms: 9 + -25 = -16 -5t = -16 Divide each side by '-5'. t = 3.2 Simplifying t = 3.2
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