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Simplifying 4(-7 + -4a) = 6(-5a + -8) + 4a (-7 * 4 + -4a * 4) = 6(-5a + -8) + 4a (-28 + -16a) = 6(-5a + -8) + 4a Reorder the terms: -28 + -16a = 6(-8 + -5a) + 4a -28 + -16a = (-8 * 6 + -5a * 6) + 4a -28 + -16a = (-48 + -30a) + 4a Combine like terms: -30a + 4a = -26a -28 + -16a = -48 + -26a Solving -28 + -16a = -48 + -26a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26a' to each side of the equation. -28 + -16a + 26a = -48 + -26a + 26a Combine like terms: -16a + 26a = 10a -28 + 10a = -48 + -26a + 26a Combine like terms: -26a + 26a = 0 -28 + 10a = -48 + 0 -28 + 10a = -48 Add '28' to each side of the equation. -28 + 28 + 10a = -48 + 28 Combine like terms: -28 + 28 = 0 0 + 10a = -48 + 28 10a = -48 + 28 Combine like terms: -48 + 28 = -20 10a = -20 Divide each side by '10'. a = -2 Simplifying a = -2
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