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Simplifying 5t + 2 = t + 12 Reorder the terms: 2 + 5t = t + 12 Reorder the terms: 2 + 5t = 12 + t Solving 2 + 5t = 12 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 2 + 5t + -1t = 12 + t + -1t Combine like terms: 5t + -1t = 4t 2 + 4t = 12 + t + -1t Combine like terms: t + -1t = 0 2 + 4t = 12 + 0 2 + 4t = 12 Add '-2' to each side of the equation. 2 + -2 + 4t = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 4t = 12 + -2 4t = 12 + -2 Combine like terms: 12 + -2 = 10 4t = 10 Divide each side by '4'. t = 2.5 Simplifying t = 2.5
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