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Simplifying 5t + -6 = 2t + 15 Reorder the terms: -6 + 5t = 2t + 15 Reorder the terms: -6 + 5t = 15 + 2t Solving -6 + 5t = 15 + 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. -6 + 5t + -2t = 15 + 2t + -2t Combine like terms: 5t + -2t = 3t -6 + 3t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + 3t = 15 + 0 -6 + 3t = 15 Add '6' to each side of the equation. -6 + 6 + 3t = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3t = 15 + 6 3t = 15 + 6 Combine like terms: 15 + 6 = 21 3t = 21 Divide each side by '3'. t = 7 Simplifying t = 7
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