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Simplifying -3(t + -9) + -1(t + 3) = 8 Reorder the terms: -3(-9 + t) + -1(t + 3) = 8 (-9 * -3 + t * -3) + -1(t + 3) = 8 (27 + -3t) + -1(t + 3) = 8 Reorder the terms: 27 + -3t + -1(3 + t) = 8 27 + -3t + (3 * -1 + t * -1) = 8 27 + -3t + (-3 + -1t) = 8 Reorder the terms: 27 + -3 + -3t + -1t = 8 Combine like terms: 27 + -3 = 24 24 + -3t + -1t = 8 Combine like terms: -3t + -1t = -4t 24 + -4t = 8 Solving 24 + -4t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -4t = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -4t = 8 + -24 -4t = 8 + -24 Combine like terms: 8 + -24 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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