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Simplifying 5t + -12 = t + 20 Reorder the terms: -12 + 5t = t + 20 Reorder the terms: -12 + 5t = 20 + t Solving -12 + 5t = 20 + 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. -12 + 5t + -1t = 20 + t + -1t Combine like terms: 5t + -1t = 4t -12 + 4t = 20 + t + -1t Combine like terms: t + -1t = 0 -12 + 4t = 20 + 0 -12 + 4t = 20 Add '12' to each side of the equation. -12 + 12 + 4t = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4t = 20 + 12 4t = 20 + 12 Combine like terms: 20 + 12 = 32 4t = 32 Divide each side by '4'. t = 8 Simplifying t = 8
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