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Simplifying 5(t + -6) = 2t Reorder the terms: 5(-6 + t) = 2t (-6 * 5 + t * 5) = 2t (-30 + 5t) = 2t Solving -30 + 5t = 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. -30 + 5t + -2t = 2t + -2t Combine like terms: 5t + -2t = 3t -30 + 3t = 2t + -2t Combine like terms: 2t + -2t = 0 -30 + 3t = 0 Add '30' to each side of the equation. -30 + 30 + 3t = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 3t = 0 + 30 3t = 0 + 30 Combine like terms: 0 + 30 = 30 3t = 30 Divide each side by '3'. t = 10 Simplifying t = 10
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