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Simplifying 6 + -2t = 4t + 12 Reorder the terms: 6 + -2t = 12 + 4t Solving 6 + -2t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 6 + -2t + -4t = 12 + 4t + -4t Combine like terms: -2t + -4t = -6t 6 + -6t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + -6t = 12 + 0 6 + -6t = 12 Add '-6' to each side of the equation. 6 + -6 + -6t = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6t = 12 + -6 -6t = 12 + -6 Combine like terms: 12 + -6 = 6 -6t = 6 Divide each side by '-6'. t = -1 Simplifying t = -1
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