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Simplifying 2(5t + -6) = 30 + -2t Reorder the terms: 2(-6 + 5t) = 30 + -2t (-6 * 2 + 5t * 2) = 30 + -2t (-12 + 10t) = 30 + -2t Solving -12 + 10t = 30 + -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. -12 + 10t + 2t = 30 + -2t + 2t Combine like terms: 10t + 2t = 12t -12 + 12t = 30 + -2t + 2t Combine like terms: -2t + 2t = 0 -12 + 12t = 30 + 0 -12 + 12t = 30 Add '12' to each side of the equation. -12 + 12 + 12t = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 12t = 30 + 12 12t = 30 + 12 Combine like terms: 30 + 12 = 42 12t = 42 Divide each side by '12'. t = 3.5 Simplifying t = 3.5
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