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Simplifying 2(t + 6) = 3t + (7)(-2) Reorder the terms: 2(6 + t) = 3t + (7)(-2) (6 * 2 + t * 2) = 3t + (7)(-2) (12 + 2t) = 3t + (7)(-2) Multiply 7 * -2 12 + 2t = 3t + -14 Reorder the terms: 12 + 2t = -14 + 3t Solving 12 + 2t = -14 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 12 + 2t + -3t = -14 + 3t + -3t Combine like terms: 2t + -3t = -1t 12 + -1t = -14 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -1t = -14 + 0 12 + -1t = -14 Add '-12' to each side of the equation. 12 + -12 + -1t = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -1t = -14 + -12 -1t = -14 + -12 Combine like terms: -14 + -12 = -26 -1t = -26 Divide each side by '-1'. t = 26 Simplifying t = 26
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