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Simplifying -8(-3t + 17) = 18 + 2t Reorder the terms: -8(17 + -3t) = 18 + 2t (17 * -8 + -3t * -8) = 18 + 2t (-136 + 24t) = 18 + 2t Solving -136 + 24t = 18 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -136 + 24t + -2t = 18 + 2t + -2t Combine like terms: 24t + -2t = 22t -136 + 22t = 18 + 2t + -2t Combine like terms: 2t + -2t = 0 -136 + 22t = 18 + 0 -136 + 22t = 18 Add '136' to each side of the equation. -136 + 136 + 22t = 18 + 136 Combine like terms: -136 + 136 = 0 0 + 22t = 18 + 136 22t = 18 + 136 Combine like terms: 18 + 136 = 154 22t = 154 Divide each side by '22'. t = 7 Simplifying t = 7
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