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Simplifying -8(a + 1) = -8a + 4(8 + -1a) Reorder the terms: -8(1 + a) = -8a + 4(8 + -1a) (1 * -8 + a * -8) = -8a + 4(8 + -1a) (-8 + -8a) = -8a + 4(8 + -1a) -8 + -8a = -8a + (8 * 4 + -1a * 4) -8 + -8a = -8a + (32 + -4a) Reorder the terms: -8 + -8a = 32 + -8a + -4a Combine like terms: -8a + -4a = -12a -8 + -8a = 32 + -12a Solving -8 + -8a = 32 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -8 + -8a + 12a = 32 + -12a + 12a Combine like terms: -8a + 12a = 4a -8 + 4a = 32 + -12a + 12a Combine like terms: -12a + 12a = 0 -8 + 4a = 32 + 0 -8 + 4a = 32 Add '8' to each side of the equation. -8 + 8 + 4a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = 32 + 8 4a = 32 + 8 Combine like terms: 32 + 8 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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