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Simplifying 2(4a + 6) + 4 = 7(a + -3) Reorder the terms: 2(6 + 4a) + 4 = 7(a + -3) (6 * 2 + 4a * 2) + 4 = 7(a + -3) (12 + 8a) + 4 = 7(a + -3) Reorder the terms: 12 + 4 + 8a = 7(a + -3) Combine like terms: 12 + 4 = 16 16 + 8a = 7(a + -3) Reorder the terms: 16 + 8a = 7(-3 + a) 16 + 8a = (-3 * 7 + a * 7) 16 + 8a = (-21 + 7a) Solving 16 + 8a = -21 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 16 + 8a + -7a = -21 + 7a + -7a Combine like terms: 8a + -7a = 1a 16 + 1a = -21 + 7a + -7a Combine like terms: 7a + -7a = 0 16 + 1a = -21 + 0 16 + 1a = -21 Add '-16' to each side of the equation. 16 + -16 + 1a = -21 + -16 Combine like terms: 16 + -16 = 0 0 + 1a = -21 + -16 1a = -21 + -16 Combine like terms: -21 + -16 = -37 1a = -37 Divide each side by '1'. a = -37 Simplifying a = -37
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