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Simplifying -4(1 + 4a) + 7(a + 4) = 3a + -4a (1 * -4 + 4a * -4) + 7(a + 4) = 3a + -4a (-4 + -16a) + 7(a + 4) = 3a + -4a Reorder the terms: -4 + -16a + 7(4 + a) = 3a + -4a -4 + -16a + (4 * 7 + a * 7) = 3a + -4a -4 + -16a + (28 + 7a) = 3a + -4a Reorder the terms: -4 + 28 + -16a + 7a = 3a + -4a Combine like terms: -4 + 28 = 24 24 + -16a + 7a = 3a + -4a Combine like terms: -16a + 7a = -9a 24 + -9a = 3a + -4a Combine like terms: 3a + -4a = -1a 24 + -9a = -1a Solving 24 + -9a = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 24 + -9a + a = -1a + a Combine like terms: -9a + a = -8a 24 + -8a = -1a + a Combine like terms: -1a + a = 0 24 + -8a = 0 Add '-24' to each side of the equation. 24 + -24 + -8a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8a = 0 + -24 -8a = 0 + -24 Combine like terms: 0 + -24 = -24 -8a = -24 Divide each side by '-8'. a = 3 Simplifying a = 3
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