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Simplifying 7(3 + -6a) = 4a + -17 (3 * 7 + -6a * 7) = 4a + -17 (21 + -42a) = 4a + -17 Reorder the terms: 21 + -42a = -17 + 4a Solving 21 + -42a = -17 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 21 + -42a + -4a = -17 + 4a + -4a Combine like terms: -42a + -4a = -46a 21 + -46a = -17 + 4a + -4a Combine like terms: 4a + -4a = 0 21 + -46a = -17 + 0 21 + -46a = -17 Add '-21' to each side of the equation. 21 + -21 + -46a = -17 + -21 Combine like terms: 21 + -21 = 0 0 + -46a = -17 + -21 -46a = -17 + -21 Combine like terms: -17 + -21 = -38 -46a = -38 Divide each side by '-46'. a = 0.8260869565 Simplifying a = 0.8260869565
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