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Simplifying -18 + 6a = -6(7a + -5) Reorder the terms: -18 + 6a = -6(-5 + 7a) -18 + 6a = (-5 * -6 + 7a * -6) -18 + 6a = (30 + -42a) Solving -18 + 6a = 30 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. -18 + 6a + 42a = 30 + -42a + 42a Combine like terms: 6a + 42a = 48a -18 + 48a = 30 + -42a + 42a Combine like terms: -42a + 42a = 0 -18 + 48a = 30 + 0 -18 + 48a = 30 Add '18' to each side of the equation. -18 + 18 + 48a = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 48a = 30 + 18 48a = 30 + 18 Combine like terms: 30 + 18 = 48 48a = 48 Divide each side by '48'. a = 1 Simplifying a = 1
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