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Simplifying -6(a + 3) = 4(a + 3) Reorder the terms: -6(3 + a) = 4(a + 3) (3 * -6 + a * -6) = 4(a + 3) (-18 + -6a) = 4(a + 3) Reorder the terms: -18 + -6a = 4(3 + a) -18 + -6a = (3 * 4 + a * 4) -18 + -6a = (12 + 4a) Solving -18 + -6a = 12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -18 + -6a + -4a = 12 + 4a + -4a Combine like terms: -6a + -4a = -10a -18 + -10a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 -18 + -10a = 12 + 0 -18 + -10a = 12 Add '18' to each side of the equation. -18 + 18 + -10a = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -10a = 12 + 18 -10a = 12 + 18 Combine like terms: 12 + 18 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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