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Simplifying -3(t + -8) + -1(t + 9) = 6 Reorder the terms: -3(-8 + t) + -1(t + 9) = 6 (-8 * -3 + t * -3) + -1(t + 9) = 6 (24 + -3t) + -1(t + 9) = 6 Reorder the terms: 24 + -3t + -1(9 + t) = 6 24 + -3t + (9 * -1 + t * -1) = 6 24 + -3t + (-9 + -1t) = 6 Reorder the terms: 24 + -9 + -3t + -1t = 6 Combine like terms: 24 + -9 = 15 15 + -3t + -1t = 6 Combine like terms: -3t + -1t = -4t 15 + -4t = 6 Solving 15 + -4t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4t = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = 6 + -15 -4t = 6 + -15 Combine like terms: 6 + -15 = -9 -4t = -9 Divide each side by '-4'. t = 2.25 Simplifying t = 2.25
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