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Simplifying 7t + 12 = 2(t + 6) Reorder the terms: 12 + 7t = 2(t + 6) Reorder the terms: 12 + 7t = 2(6 + t) 12 + 7t = (6 * 2 + t * 2) 12 + 7t = (12 + 2t) Add '-12' to each side of the equation. 12 + -12 + 7t = 12 + -12 + 2t Combine like terms: 12 + -12 = 0 0 + 7t = 12 + -12 + 2t 7t = 12 + -12 + 2t Combine like terms: 12 + -12 = 0 7t = 0 + 2t 7t = 2t Solving 7t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 7t + -2t = 2t + -2t Combine like terms: 7t + -2t = 5t 5t = 2t + -2t Combine like terms: 2t + -2t = 0 5t = 0 Divide each side by '5'. t = 0 Simplifying t = 0
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