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Simplifying 5t + -4 = 32 + t Reorder the terms: -4 + 5t = 32 + t Solving -4 + 5t = 32 + 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. -4 + 5t + -1t = 32 + t + -1t Combine like terms: 5t + -1t = 4t -4 + 4t = 32 + t + -1t Combine like terms: t + -1t = 0 -4 + 4t = 32 + 0 -4 + 4t = 32 Add '4' to each side of the equation. -4 + 4 + 4t = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 4t = 32 + 4 4t = 32 + 4 Combine like terms: 32 + 4 = 36 4t = 36 Divide each side by '4'. t = 9 Simplifying t = 9
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