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Simplifying -3(t + -8) + -1(t + 8) = 6 Reorder the terms: -3(-8 + t) + -1(t + 8) = 6 (-8 * -3 + t * -3) + -1(t + 8) = 6 (24 + -3t) + -1(t + 8) = 6 Reorder the terms: 24 + -3t + -1(8 + t) = 6 24 + -3t + (8 * -1 + t * -1) = 6 24 + -3t + (-8 + -1t) = 6 Reorder the terms: 24 + -8 + -3t + -1t = 6 Combine like terms: 24 + -8 = 16 16 + -3t + -1t = 6 Combine like terms: -3t + -1t = -4t 16 + -4t = 6 Solving 16 + -4t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4t = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -4t = 6 + -16 -4t = 6 + -16 Combine like terms: 6 + -16 = -10 -4t = -10 Divide each side by '-4'. t = 2.5 Simplifying t = 2.5
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