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Simplifying 5t + -22 = -12 + 3t Reorder the terms: -22 + 5t = -12 + 3t Solving -22 + 5t = -12 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -22 + 5t + -3t = -12 + 3t + -3t Combine like terms: 5t + -3t = 2t -22 + 2t = -12 + 3t + -3t Combine like terms: 3t + -3t = 0 -22 + 2t = -12 + 0 -22 + 2t = -12 Add '22' to each side of the equation. -22 + 22 + 2t = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 2t = -12 + 22 2t = -12 + 22 Combine like terms: -12 + 22 = 10 2t = 10 Divide each side by '2'. t = 5 Simplifying t = 5
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