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Simplifying 6(a + 5) + -2 = 4(a + -4) Reorder the terms: 6(5 + a) + -2 = 4(a + -4) (5 * 6 + a * 6) + -2 = 4(a + -4) (30 + 6a) + -2 = 4(a + -4) Reorder the terms: 30 + -2 + 6a = 4(a + -4) Combine like terms: 30 + -2 = 28 28 + 6a = 4(a + -4) Reorder the terms: 28 + 6a = 4(-4 + a) 28 + 6a = (-4 * 4 + a * 4) 28 + 6a = (-16 + 4a) Solving 28 + 6a = -16 + 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. 28 + 6a + -4a = -16 + 4a + -4a Combine like terms: 6a + -4a = 2a 28 + 2a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 28 + 2a = -16 + 0 28 + 2a = -16 Add '-28' to each side of the equation. 28 + -28 + 2a = -16 + -28 Combine like terms: 28 + -28 = 0 0 + 2a = -16 + -28 2a = -16 + -28 Combine like terms: -16 + -28 = -44 2a = -44 Divide each side by '2'. a = -22 Simplifying a = -22
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