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Simplifying 5t + -3 = (t + 7) + 3t Reorder the terms: -3 + 5t = (t + 7) + 3t Reorder the terms: -3 + 5t = (7 + t) + 3t Remove parenthesis around (7 + t) -3 + 5t = 7 + t + 3t Combine like terms: t + 3t = 4t -3 + 5t = 7 + 4t Solving -3 + 5t = 7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -3 + 5t + -4t = 7 + 4t + -4t Combine like terms: 5t + -4t = 1t -3 + 1t = 7 + 4t + -4t Combine like terms: 4t + -4t = 0 -3 + 1t = 7 + 0 -3 + 1t = 7 Add '3' to each side of the equation. -3 + 3 + 1t = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 1t = 7 + 3 1t = 7 + 3 Combine like terms: 7 + 3 = 10 1t = 10 Divide each side by '1'. t = 10 Simplifying t = 10
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