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Simplifying -9(t + 8) = 102 + -3t Reorder the terms: -9(8 + t) = 102 + -3t (8 * -9 + t * -9) = 102 + -3t (-72 + -9t) = 102 + -3t Solving -72 + -9t = 102 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -72 + -9t + 3t = 102 + -3t + 3t Combine like terms: -9t + 3t = -6t -72 + -6t = 102 + -3t + 3t Combine like terms: -3t + 3t = 0 -72 + -6t = 102 + 0 -72 + -6t = 102 Add '72' to each side of the equation. -72 + 72 + -6t = 102 + 72 Combine like terms: -72 + 72 = 0 0 + -6t = 102 + 72 -6t = 102 + 72 Combine like terms: 102 + 72 = 174 -6t = 174 Divide each side by '-6'. t = -29 Simplifying t = -29
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