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Simplifying 3(9t + -16) = 17t + 12 Reorder the terms: 3(-16 + 9t) = 17t + 12 (-16 * 3 + 9t * 3) = 17t + 12 (-48 + 27t) = 17t + 12 Reorder the terms: -48 + 27t = 12 + 17t Solving -48 + 27t = 12 + 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. -48 + 27t + -17t = 12 + 17t + -17t Combine like terms: 27t + -17t = 10t -48 + 10t = 12 + 17t + -17t Combine like terms: 17t + -17t = 0 -48 + 10t = 12 + 0 -48 + 10t = 12 Add '48' to each side of the equation. -48 + 48 + 10t = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 10t = 12 + 48 10t = 12 + 48 Combine like terms: 12 + 48 = 60 10t = 60 Divide each side by '10'. t = 6 Simplifying t = 6
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