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Simplifying 3(1 + -6a) + -7(6a + 5) = -32 (1 * 3 + -6a * 3) + -7(6a + 5) = -32 (3 + -18a) + -7(6a + 5) = -32 Reorder the terms: 3 + -18a + -7(5 + 6a) = -32 3 + -18a + (5 * -7 + 6a * -7) = -32 3 + -18a + (-35 + -42a) = -32 Reorder the terms: 3 + -35 + -18a + -42a = -32 Combine like terms: 3 + -35 = -32 -32 + -18a + -42a = -32 Combine like terms: -18a + -42a = -60a -32 + -60a = -32 Add '32' to each side of the equation. -32 + 32 + -60a = -32 + 32 Combine like terms: -32 + 32 = 0 0 + -60a = -32 + 32 -60a = -32 + 32 Combine like terms: -32 + 32 = 0 -60a = 0 Solving -60a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-60'. a = 0.0 Simplifying a = 0.0
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