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Simplifying 4(18a + -7) + 40 = (4 + 24a) Reorder the terms: 4(-7 + 18a) + 40 = (4 + 24a) (-7 * 4 + 18a * 4) + 40 = (4 + 24a) (-28 + 72a) + 40 = (4 + 24a) Reorder the terms: -28 + 40 + 72a = (4 + 24a) Combine like terms: -28 + 40 = 12 12 + 72a = (4 + 24a) Remove parenthesis around (4 + 24a) 12 + 72a = 4 + 24a Solving 12 + 72a = 4 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 12 + 72a + -24a = 4 + 24a + -24a Combine like terms: 72a + -24a = 48a 12 + 48a = 4 + 24a + -24a Combine like terms: 24a + -24a = 0 12 + 48a = 4 + 0 12 + 48a = 4 Add '-12' to each side of the equation. 12 + -12 + 48a = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 48a = 4 + -12 48a = 4 + -12 Combine like terms: 4 + -12 = -8 48a = -8 Divide each side by '48'. a = -0.1666666667 Simplifying a = -0.1666666667
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