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Simplifying -4(t + -8) + -1(t + 9) = 6 Reorder the terms: -4(-8 + t) + -1(t + 9) = 6 (-8 * -4 + t * -4) + -1(t + 9) = 6 (32 + -4t) + -1(t + 9) = 6 Reorder the terms: 32 + -4t + -1(9 + t) = 6 32 + -4t + (9 * -1 + t * -1) = 6 32 + -4t + (-9 + -1t) = 6 Reorder the terms: 32 + -9 + -4t + -1t = 6 Combine like terms: 32 + -9 = 23 23 + -4t + -1t = 6 Combine like terms: -4t + -1t = -5t 23 + -5t = 6 Solving 23 + -5t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -5t = 6 + -23 Combine like terms: 23 + -23 = 0 0 + -5t = 6 + -23 -5t = 6 + -23 Combine like terms: 6 + -23 = -17 -5t = -17 Divide each side by '-5'. t = 3.4 Simplifying t = 3.4
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