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Simplifying -6(a + 1) = -18 + 6a Reorder the terms: -6(1 + a) = -18 + 6a (1 * -6 + a * -6) = -18 + 6a (-6 + -6a) = -18 + 6a Solving -6 + -6a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -6 + -6a + -6a = -18 + 6a + -6a Combine like terms: -6a + -6a = -12a -6 + -12a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 -6 + -12a = -18 + 0 -6 + -12a = -18 Add '6' to each side of the equation. -6 + 6 + -12a = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -12a = -18 + 6 -12a = -18 + 6 Combine like terms: -18 + 6 = -12 -12a = -12 Divide each side by '-12'. a = 1 Simplifying a = 1
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