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Simplifying -8(5a + 4) = -6(8 + 6a) Reorder the terms: -8(4 + 5a) = -6(8 + 6a) (4 * -8 + 5a * -8) = -6(8 + 6a) (-32 + -40a) = -6(8 + 6a) -32 + -40a = (8 * -6 + 6a * -6) -32 + -40a = (-48 + -36a) Solving -32 + -40a = -48 + -36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36a' to each side of the equation. -32 + -40a + 36a = -48 + -36a + 36a Combine like terms: -40a + 36a = -4a -32 + -4a = -48 + -36a + 36a Combine like terms: -36a + 36a = 0 -32 + -4a = -48 + 0 -32 + -4a = -48 Add '32' to each side of the equation. -32 + 32 + -4a = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -4a = -48 + 32 -4a = -48 + 32 Combine like terms: -48 + 32 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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