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Simplifying 5t + -2 = 2t + -6 Reorder the terms: -2 + 5t = 2t + -6 Reorder the terms: -2 + 5t = -6 + 2t Solving -2 + 5t = -6 + 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. -2 + 5t + -2t = -6 + 2t + -2t Combine like terms: 5t + -2t = 3t -2 + 3t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 -2 + 3t = -6 + 0 -2 + 3t = -6 Add '2' to each side of the equation. -2 + 2 + 3t = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = -6 + 2 3t = -6 + 2 Combine like terms: -6 + 2 = -4 3t = -4 Divide each side by '3'. t = -1.333333333 Simplifying t = -1.333333333
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