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Simplifying 4(a + -6) = 6(a + 2) Reorder the terms: 4(-6 + a) = 6(a + 2) (-6 * 4 + a * 4) = 6(a + 2) (-24 + 4a) = 6(a + 2) Reorder the terms: -24 + 4a = 6(2 + a) -24 + 4a = (2 * 6 + a * 6) -24 + 4a = (12 + 6a) Solving -24 + 4a = 12 + 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. -24 + 4a + -6a = 12 + 6a + -6a Combine like terms: 4a + -6a = -2a -24 + -2a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + -2a = 12 + 0 -24 + -2a = 12 Add '24' to each side of the equation. -24 + 24 + -2a = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2a = 12 + 24 -2a = 12 + 24 Combine like terms: 12 + 24 = 36 -2a = 36 Divide each side by '-2'. a = -18 Simplifying a = -18
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