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Simplifying -3(t + -8) + -1(t + 6) = 6 Reorder the terms: -3(-8 + t) + -1(t + 6) = 6 (-8 * -3 + t * -3) + -1(t + 6) = 6 (24 + -3t) + -1(t + 6) = 6 Reorder the terms: 24 + -3t + -1(6 + t) = 6 24 + -3t + (6 * -1 + t * -1) = 6 24 + -3t + (-6 + -1t) = 6 Reorder the terms: 24 + -6 + -3t + -1t = 6 Combine like terms: 24 + -6 = 18 18 + -3t + -1t = 6 Combine like terms: -3t + -1t = -4t 18 + -4t = 6 Solving 18 + -4t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -4t = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4t = 6 + -18 -4t = 6 + -18 Combine like terms: 6 + -18 = -12 -4t = -12 Divide each side by '-4'. t = 3 Simplifying t = 3
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