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Simplifying 2 + -3t = 5t + -22 Reorder the terms: 2 + -3t = -22 + 5t Solving 2 + -3t = -22 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 2 + -3t + -5t = -22 + 5t + -5t Combine like terms: -3t + -5t = -8t 2 + -8t = -22 + 5t + -5t Combine like terms: 5t + -5t = 0 2 + -8t = -22 + 0 2 + -8t = -22 Add '-2' to each side of the equation. 2 + -2 + -8t = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -8t = -22 + -2 -8t = -22 + -2 Combine like terms: -22 + -2 = -24 -8t = -24 Divide each side by '-8'. t = 3 Simplifying t = 3
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