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Simplifying 4(a + -6) + -3(4a + 4) = -4a Reorder the terms: 4(-6 + a) + -3(4a + 4) = -4a (-6 * 4 + a * 4) + -3(4a + 4) = -4a (-24 + 4a) + -3(4a + 4) = -4a Reorder the terms: -24 + 4a + -3(4 + 4a) = -4a -24 + 4a + (4 * -3 + 4a * -3) = -4a -24 + 4a + (-12 + -12a) = -4a Reorder the terms: -24 + -12 + 4a + -12a = -4a Combine like terms: -24 + -12 = -36 -36 + 4a + -12a = -4a Combine like terms: 4a + -12a = -8a -36 + -8a = -4a Solving -36 + -8a = -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. -36 + -8a + 4a = -4a + 4a Combine like terms: -8a + 4a = -4a -36 + -4a = -4a + 4a Combine like terms: -4a + 4a = 0 -36 + -4a = 0 Add '36' to each side of the equation. -36 + 36 + -4a = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -4a = 0 + 36 -4a = 0 + 36 Combine like terms: 0 + 36 = 36 -4a = 36 Divide each side by '-4'. a = -9 Simplifying a = -9
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