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Simplifying -3(t + -6) + -1(t + 2) = 8 Reorder the terms: -3(-6 + t) + -1(t + 2) = 8 (-6 * -3 + t * -3) + -1(t + 2) = 8 (18 + -3t) + -1(t + 2) = 8 Reorder the terms: 18 + -3t + -1(2 + t) = 8 18 + -3t + (2 * -1 + t * -1) = 8 18 + -3t + (-2 + -1t) = 8 Reorder the terms: 18 + -2 + -3t + -1t = 8 Combine like terms: 18 + -2 = 16 16 + -3t + -1t = 8 Combine like terms: -3t + -1t = -4t 16 + -4t = 8 Solving 16 + -4t = 8 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 = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -4t = 8 + -16 -4t = 8 + -16 Combine like terms: 8 + -16 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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