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Simplifying 6t + -5 + -5t = 7 + -3t Reorder the terms: -5 + 6t + -5t = 7 + -3t Combine like terms: 6t + -5t = 1t -5 + 1t = 7 + -3t Solving -5 + 1t = 7 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -5 + 1t + 3t = 7 + -3t + 3t Combine like terms: 1t + 3t = 4t -5 + 4t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 -5 + 4t = 7 + 0 -5 + 4t = 7 Add '5' to each side of the equation. -5 + 5 + 4t = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = 7 + 5 4t = 7 + 5 Combine like terms: 7 + 5 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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