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Simplifying 4(a + -3) = -2(a + -6) Reorder the terms: 4(-3 + a) = -2(a + -6) (-3 * 4 + a * 4) = -2(a + -6) (-12 + 4a) = -2(a + -6) Reorder the terms: -12 + 4a = -2(-6 + a) -12 + 4a = (-6 * -2 + a * -2) -12 + 4a = (12 + -2a) Solving -12 + 4a = 12 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -12 + 4a + 2a = 12 + -2a + 2a Combine like terms: 4a + 2a = 6a -12 + 6a = 12 + -2a + 2a Combine like terms: -2a + 2a = 0 -12 + 6a = 12 + 0 -12 + 6a = 12 Add '12' to each side of the equation. -12 + 12 + 6a = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6a = 12 + 12 6a = 12 + 12 Combine like terms: 12 + 12 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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