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Simplifying -4(a + 7) = 7a + 6(4 + -4a) Reorder the terms: -4(7 + a) = 7a + 6(4 + -4a) (7 * -4 + a * -4) = 7a + 6(4 + -4a) (-28 + -4a) = 7a + 6(4 + -4a) -28 + -4a = 7a + (4 * 6 + -4a * 6) -28 + -4a = 7a + (24 + -24a) Reorder the terms: -28 + -4a = 24 + 7a + -24a Combine like terms: 7a + -24a = -17a -28 + -4a = 24 + -17a Solving -28 + -4a = 24 + -17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17a' to each side of the equation. -28 + -4a + 17a = 24 + -17a + 17a Combine like terms: -4a + 17a = 13a -28 + 13a = 24 + -17a + 17a Combine like terms: -17a + 17a = 0 -28 + 13a = 24 + 0 -28 + 13a = 24 Add '28' to each side of the equation. -28 + 28 + 13a = 24 + 28 Combine like terms: -28 + 28 = 0 0 + 13a = 24 + 28 13a = 24 + 28 Combine like terms: 24 + 28 = 52 13a = 52 Divide each side by '13'. a = 4 Simplifying a = 4
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