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Simplifying 5t + -1t + -7 = 3t + -6 Reorder the terms: -7 + 5t + -1t = 3t + -6 Combine like terms: 5t + -1t = 4t -7 + 4t = 3t + -6 Reorder the terms: -7 + 4t = -6 + 3t Solving -7 + 4t = -6 + 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. -7 + 4t + -3t = -6 + 3t + -3t Combine like terms: 4t + -3t = 1t -7 + 1t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -7 + 1t = -6 + 0 -7 + 1t = -6 Add '7' to each side of the equation. -7 + 7 + 1t = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = -6 + 7 1t = -6 + 7 Combine like terms: -6 + 7 = 1 1t = 1 Divide each side by '1'. t = 1 Simplifying t = 1
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