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Simplifying -3(t + -2) + -1(t + 8) = 6 Reorder the terms: -3(-2 + t) + -1(t + 8) = 6 (-2 * -3 + t * -3) + -1(t + 8) = 6 (6 + -3t) + -1(t + 8) = 6 Reorder the terms: 6 + -3t + -1(8 + t) = 6 6 + -3t + (8 * -1 + t * -1) = 6 6 + -3t + (-8 + -1t) = 6 Reorder the terms: 6 + -8 + -3t + -1t = 6 Combine like terms: 6 + -8 = -2 -2 + -3t + -1t = 6 Combine like terms: -3t + -1t = -4t -2 + -4t = 6 Solving -2 + -4t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -4t = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4t = 6 + 2 -4t = 6 + 2 Combine like terms: 6 + 2 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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