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Simplifying 6 + 2t + -4 = 9t + 2 + -3t Reorder the terms: 6 + -4 + 2t = 9t + 2 + -3t Combine like terms: 6 + -4 = 2 2 + 2t = 9t + 2 + -3t Reorder the terms: 2 + 2t = 2 + 9t + -3t Combine like terms: 9t + -3t = 6t 2 + 2t = 2 + 6t Add '-2' to each side of the equation. 2 + -2 + 2t = 2 + -2 + 6t Combine like terms: 2 + -2 = 0 0 + 2t = 2 + -2 + 6t 2t = 2 + -2 + 6t Combine like terms: 2 + -2 = 0 2t = 0 + 6t 2t = 6t Solving 2t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 2t + -6t = 6t + -6t Combine like terms: 2t + -6t = -4t -4t = 6t + -6t Combine like terms: 6t + -6t = 0 -4t = 0 Divide each side by '-4'. t = 0 Simplifying t = 0
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