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Simplifying 6 = 4t + -3t + -2 Reorder the terms: 6 = -2 + 4t + -3t Combine like terms: 4t + -3t = 1t 6 = -2 + 1t Solving 6 = -2 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 6 + -1t = -2 + 1t + -1t Combine like terms: 1t + -1t = 0 6 + -1t = -2 + 0 6 + -1t = -2 Add '-6' to each side of the equation. 6 + -6 + -1t = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = -2 + -6 -1t = -2 + -6 Combine like terms: -2 + -6 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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