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Simplifying -6a + 28 = -7(a + 4) + -7a Reorder the terms: 28 + -6a = -7(a + 4) + -7a Reorder the terms: 28 + -6a = -7(4 + a) + -7a 28 + -6a = (4 * -7 + a * -7) + -7a 28 + -6a = (-28 + -7a) + -7a Combine like terms: -7a + -7a = -14a 28 + -6a = -28 + -14a Solving 28 + -6a = -28 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 28 + -6a + 14a = -28 + -14a + 14a Combine like terms: -6a + 14a = 8a 28 + 8a = -28 + -14a + 14a Combine like terms: -14a + 14a = 0 28 + 8a = -28 + 0 28 + 8a = -28 Add '-28' to each side of the equation. 28 + -28 + 8a = -28 + -28 Combine like terms: 28 + -28 = 0 0 + 8a = -28 + -28 8a = -28 + -28 Combine like terms: -28 + -28 = -56 8a = -56 Divide each side by '8'. a = -7 Simplifying a = -7
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