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Simplifying 6(-4 + -7a) + 4 = 28 + 6a (-4 * 6 + -7a * 6) + 4 = 28 + 6a (-24 + -42a) + 4 = 28 + 6a Reorder the terms: -24 + 4 + -42a = 28 + 6a Combine like terms: -24 + 4 = -20 -20 + -42a = 28 + 6a Solving -20 + -42a = 28 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -20 + -42a + -6a = 28 + 6a + -6a Combine like terms: -42a + -6a = -48a -20 + -48a = 28 + 6a + -6a Combine like terms: 6a + -6a = 0 -20 + -48a = 28 + 0 -20 + -48a = 28 Add '20' to each side of the equation. -20 + 20 + -48a = 28 + 20 Combine like terms: -20 + 20 = 0 0 + -48a = 28 + 20 -48a = 28 + 20 Combine like terms: 28 + 20 = 48 -48a = 48 Divide each side by '-48'. a = -1 Simplifying a = -1
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