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Simplifying 5(a + -4) = 4(a + 7) + 9a Reorder the terms: 5(-4 + a) = 4(a + 7) + 9a (-4 * 5 + a * 5) = 4(a + 7) + 9a (-20 + 5a) = 4(a + 7) + 9a Reorder the terms: -20 + 5a = 4(7 + a) + 9a -20 + 5a = (7 * 4 + a * 4) + 9a -20 + 5a = (28 + 4a) + 9a Combine like terms: 4a + 9a = 13a -20 + 5a = 28 + 13a Solving -20 + 5a = 28 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -20 + 5a + -13a = 28 + 13a + -13a Combine like terms: 5a + -13a = -8a -20 + -8a = 28 + 13a + -13a Combine like terms: 13a + -13a = 0 -20 + -8a = 28 + 0 -20 + -8a = 28 Add '20' to each side of the equation. -20 + 20 + -8a = 28 + 20 Combine like terms: -20 + 20 = 0 0 + -8a = 28 + 20 -8a = 28 + 20 Combine like terms: 28 + 20 = 48 -8a = 48 Divide each side by '-8'. a = -6 Simplifying a = -6
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