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Simplifying 5t + -7 = t + 3 + 7 Reorder the terms: -7 + 5t = t + 3 + 7 Reorder the terms: -7 + 5t = 3 + 7 + t Combine like terms: 3 + 7 = 10 -7 + 5t = 10 + t Solving -7 + 5t = 10 + 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. -7 + 5t + -1t = 10 + t + -1t Combine like terms: 5t + -1t = 4t -7 + 4t = 10 + t + -1t Combine like terms: t + -1t = 0 -7 + 4t = 10 + 0 -7 + 4t = 10 Add '7' to each side of the equation. -7 + 7 + 4t = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 4t = 10 + 7 4t = 10 + 7 Combine like terms: 10 + 7 = 17 4t = 17 Divide each side by '4'. t = 4.25 Simplifying t = 4.25
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