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Simplifying 3(2a + -2) = -4(a + -6) Reorder the terms: 3(-2 + 2a) = -4(a + -6) (-2 * 3 + 2a * 3) = -4(a + -6) (-6 + 6a) = -4(a + -6) Reorder the terms: -6 + 6a = -4(-6 + a) -6 + 6a = (-6 * -4 + a * -4) -6 + 6a = (24 + -4a) Solving -6 + 6a = 24 + -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. -6 + 6a + 4a = 24 + -4a + 4a Combine like terms: 6a + 4a = 10a -6 + 10a = 24 + -4a + 4a Combine like terms: -4a + 4a = 0 -6 + 10a = 24 + 0 -6 + 10a = 24 Add '6' to each side of the equation. -6 + 6 + 10a = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10a = 24 + 6 10a = 24 + 6 Combine like terms: 24 + 6 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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