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Simplifying 6(2t + -5) + 5t = 60t Reorder the terms: 6(-5 + 2t) + 5t = 60t (-5 * 6 + 2t * 6) + 5t = 60t (-30 + 12t) + 5t = 60t Combine like terms: 12t + 5t = 17t -30 + 17t = 60t Solving -30 + 17t = 60t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60t' to each side of the equation. -30 + 17t + -60t = 60t + -60t Combine like terms: 17t + -60t = -43t -30 + -43t = 60t + -60t Combine like terms: 60t + -60t = 0 -30 + -43t = 0 Add '30' to each side of the equation. -30 + 30 + -43t = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -43t = 0 + 30 -43t = 0 + 30 Combine like terms: 0 + 30 = 30 -43t = 30 Divide each side by '-43'. t = -0.6976744186 Simplifying t = -0.6976744186
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