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Simplifying -2(t + -6) = 7t + -6 Reorder the terms: -2(-6 + t) = 7t + -6 (-6 * -2 + t * -2) = 7t + -6 (12 + -2t) = 7t + -6 Reorder the terms: 12 + -2t = -6 + 7t Solving 12 + -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. 12 + -2t + -7t = -6 + 7t + -7t Combine like terms: -2t + -7t = -9t 12 + -9t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 12 + -9t = -6 + 0 12 + -9t = -6 Add '-12' to each side of the equation. 12 + -12 + -9t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9t = -6 + -12 -9t = -6 + -12 Combine like terms: -6 + -12 = -18 -9t = -18 Divide each side by '-9'. t = 2 Simplifying t = 2
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