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Simplifying -4a + -32 = 2(7a + 2) Reorder the terms: -32 + -4a = 2(7a + 2) Reorder the terms: -32 + -4a = 2(2 + 7a) -32 + -4a = (2 * 2 + 7a * 2) -32 + -4a = (4 + 14a) Solving -32 + -4a = 4 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -32 + -4a + -14a = 4 + 14a + -14a Combine like terms: -4a + -14a = -18a -32 + -18a = 4 + 14a + -14a Combine like terms: 14a + -14a = 0 -32 + -18a = 4 + 0 -32 + -18a = 4 Add '32' to each side of the equation. -32 + 32 + -18a = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -18a = 4 + 32 -18a = 4 + 32 Combine like terms: 4 + 32 = 36 -18a = 36 Divide each side by '-18'. a = -2 Simplifying a = -2
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