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Simplifying 5t + -1t + -5 = 3t + -7 Reorder the terms: -5 + 5t + -1t = 3t + -7 Combine like terms: 5t + -1t = 4t -5 + 4t = 3t + -7 Reorder the terms: -5 + 4t = -7 + 3t Solving -5 + 4t = -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 + 4t + -3t = -7 + 3t + -3t Combine like terms: 4t + -3t = 1t -5 + 1t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 -5 + 1t = -7 + 0 -5 + 1t = -7 Add '5' to each side of the equation. -5 + 5 + 1t = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 1t = -7 + 5 1t = -7 + 5 Combine like terms: -7 + 5 = -2 1t = -2 Divide each side by '1'. t = -2 Simplifying t = -2
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