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Simplifying 2(t + 7) = 7t + -6 Reorder the terms: 2(7 + t) = 7t + -6 (7 * 2 + t * 2) = 7t + -6 (14 + 2t) = 7t + -6 Reorder the terms: 14 + 2t = -6 + 7t Solving 14 + 2t = -6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 14 + 2t + -7t = -6 + 7t + -7t Combine like terms: 2t + -7t = -5t 14 + -5t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 14 + -5t = -6 + 0 14 + -5t = -6 Add '-14' to each side of the equation. 14 + -14 + -5t = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -5t = -6 + -14 -5t = -6 + -14 Combine like terms: -6 + -14 = -20 -5t = -20 Divide each side by '-5'. t = 4 Simplifying t = 4
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