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Simplifying 5t + -8 = 12 + t Reorder the terms: -8 + 5t = 12 + t Solving -8 + 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. -8 + 5t + -1t = 12 + t + -1t Combine like terms: 5t + -1t = 4t -8 + 4t = 12 + t + -1t Combine like terms: t + -1t = 0 -8 + 4t = 12 + 0 -8 + 4t = 12 Add '8' to each side of the equation. -8 + 8 + 4t = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4t = 12 + 8 4t = 12 + 8 Combine like terms: 12 + 8 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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