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Simplifying 5t + -1t + -6 = 3t + -4 Reorder the terms: -6 + 5t + -1t = 3t + -4 Combine like terms: 5t + -1t = 4t -6 + 4t = 3t + -4 Reorder the terms: -6 + 4t = -4 + 3t Solving -6 + 4t = -4 + 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. -6 + 4t + -3t = -4 + 3t + -3t Combine like terms: 4t + -3t = 1t -6 + 1t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 -6 + 1t = -4 + 0 -6 + 1t = -4 Add '6' to each side of the equation. -6 + 6 + 1t = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 1t = -4 + 6 1t = -4 + 6 Combine like terms: -4 + 6 = 2 1t = 2 Divide each side by '1'. t = 2 Simplifying t = 2
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