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Simplifying -4(a + 8) = -7(a + 5) Reorder the terms: -4(8 + a) = -7(a + 5) (8 * -4 + a * -4) = -7(a + 5) (-32 + -4a) = -7(a + 5) Reorder the terms: -32 + -4a = -7(5 + a) -32 + -4a = (5 * -7 + a * -7) -32 + -4a = (-35 + -7a) Solving -32 + -4a = -35 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -32 + -4a + 7a = -35 + -7a + 7a Combine like terms: -4a + 7a = 3a -32 + 3a = -35 + -7a + 7a Combine like terms: -7a + 7a = 0 -32 + 3a = -35 + 0 -32 + 3a = -35 Add '32' to each side of the equation. -32 + 32 + 3a = -35 + 32 Combine like terms: -32 + 32 = 0 0 + 3a = -35 + 32 3a = -35 + 32 Combine like terms: -35 + 32 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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