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Simplifying -7(2a + -4) = -4(a + 8) Reorder the terms: -7(-4 + 2a) = -4(a + 8) (-4 * -7 + 2a * -7) = -4(a + 8) (28 + -14a) = -4(a + 8) Reorder the terms: 28 + -14a = -4(8 + a) 28 + -14a = (8 * -4 + a * -4) 28 + -14a = (-32 + -4a) Solving 28 + -14a = -32 + -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 + -14a + 4a = -32 + -4a + 4a Combine like terms: -14a + 4a = -10a 28 + -10a = -32 + -4a + 4a Combine like terms: -4a + 4a = 0 28 + -10a = -32 + 0 28 + -10a = -32 Add '-28' to each side of the equation. 28 + -28 + -10a = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -10a = -32 + -28 -10a = -32 + -28 Combine like terms: -32 + -28 = -60 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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