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Simplifying 126 = 7(3a + -2) + -7 Reorder the terms: 126 = 7(-2 + 3a) + -7 126 = (-2 * 7 + 3a * 7) + -7 126 = (-14 + 21a) + -7 Reorder the terms: 126 = -14 + -7 + 21a Combine like terms: -14 + -7 = -21 126 = -21 + 21a Solving 126 = -21 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 126 + -21a = -21 + 21a + -21a Combine like terms: 21a + -21a = 0 126 + -21a = -21 + 0 126 + -21a = -21 Add '-126' to each side of the equation. 126 + -126 + -21a = -21 + -126 Combine like terms: 126 + -126 = 0 0 + -21a = -21 + -126 -21a = -21 + -126 Combine like terms: -21 + -126 = -147 -21a = -147 Divide each side by '-21'. a = 7 Simplifying a = 7
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