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Simplifying 9(3t + -20) + t = 17t + 18 Reorder the terms: 9(-20 + 3t) + t = 17t + 18 (-20 * 9 + 3t * 9) + t = 17t + 18 (-180 + 27t) + t = 17t + 18 Combine like terms: 27t + t = 28t -180 + 28t = 17t + 18 Reorder the terms: -180 + 28t = 18 + 17t Solving -180 + 28t = 18 + 17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17t' to each side of the equation. -180 + 28t + -17t = 18 + 17t + -17t Combine like terms: 28t + -17t = 11t -180 + 11t = 18 + 17t + -17t Combine like terms: 17t + -17t = 0 -180 + 11t = 18 + 0 -180 + 11t = 18 Add '180' to each side of the equation. -180 + 180 + 11t = 18 + 180 Combine like terms: -180 + 180 = 0 0 + 11t = 18 + 180 11t = 18 + 180 Combine like terms: 18 + 180 = 198 11t = 198 Divide each side by '11'. t = 18 Simplifying t = 18
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