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Simplifying -16 + -2a = 6(1 + -4a) -16 + -2a = (1 * 6 + -4a * 6) -16 + -2a = (6 + -24a) Solving -16 + -2a = 6 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -16 + -2a + 24a = 6 + -24a + 24a Combine like terms: -2a + 24a = 22a -16 + 22a = 6 + -24a + 24a Combine like terms: -24a + 24a = 0 -16 + 22a = 6 + 0 -16 + 22a = 6 Add '16' to each side of the equation. -16 + 16 + 22a = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 22a = 6 + 16 22a = 6 + 16 Combine like terms: 6 + 16 = 22 22a = 22 Divide each side by '22'. a = 1 Simplifying a = 1
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