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Simplifying 5t + -22 = -31 + 2t Reorder the terms: -22 + 5t = -31 + 2t Solving -22 + 5t = -31 + 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. -22 + 5t + -2t = -31 + 2t + -2t Combine like terms: 5t + -2t = 3t -22 + 3t = -31 + 2t + -2t Combine like terms: 2t + -2t = 0 -22 + 3t = -31 + 0 -22 + 3t = -31 Add '22' to each side of the equation. -22 + 22 + 3t = -31 + 22 Combine like terms: -22 + 22 = 0 0 + 3t = -31 + 22 3t = -31 + 22 Combine like terms: -31 + 22 = -9 3t = -9 Divide each side by '3'. t = -3 Simplifying t = -3
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