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Simplifying 16a + -16 = 8(4 + -1a) Reorder the terms: -16 + 16a = 8(4 + -1a) -16 + 16a = (4 * 8 + -1a * 8) -16 + 16a = (32 + -8a) Solving -16 + 16a = 32 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -16 + 16a + 8a = 32 + -8a + 8a Combine like terms: 16a + 8a = 24a -16 + 24a = 32 + -8a + 8a Combine like terms: -8a + 8a = 0 -16 + 24a = 32 + 0 -16 + 24a = 32 Add '16' to each side of the equation. -16 + 16 + 24a = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 24a = 32 + 16 24a = 32 + 16 Combine like terms: 32 + 16 = 48 24a = 48 Divide each side by '24'. a = 2 Simplifying a = 2
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