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Simplifying 7(a + -4) = 4a + -1(2a + 4) Reorder the terms: 7(-4 + a) = 4a + -1(2a + 4) (-4 * 7 + a * 7) = 4a + -1(2a + 4) (-28 + 7a) = 4a + -1(2a + 4) Reorder the terms: -28 + 7a = 4a + -1(4 + 2a) -28 + 7a = 4a + (4 * -1 + 2a * -1) -28 + 7a = 4a + (-4 + -2a) Reorder the terms: -28 + 7a = -4 + 4a + -2a Combine like terms: 4a + -2a = 2a -28 + 7a = -4 + 2a Solving -28 + 7a = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -28 + 7a + -2a = -4 + 2a + -2a Combine like terms: 7a + -2a = 5a -28 + 5a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 -28 + 5a = -4 + 0 -28 + 5a = -4 Add '28' to each side of the equation. -28 + 28 + 5a = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 5a = -4 + 28 5a = -4 + 28 Combine like terms: -4 + 28 = 24 5a = 24 Divide each side by '5'. a = 4.8 Simplifying a = 4.8
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