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Simplifying 14a + -22 = -4(1 + -2a) Reorder the terms: -22 + 14a = -4(1 + -2a) -22 + 14a = (1 * -4 + -2a * -4) -22 + 14a = (-4 + 8a) Solving -22 + 14a = -4 + 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. -22 + 14a + -8a = -4 + 8a + -8a Combine like terms: 14a + -8a = 6a -22 + 6a = -4 + 8a + -8a Combine like terms: 8a + -8a = 0 -22 + 6a = -4 + 0 -22 + 6a = -4 Add '22' to each side of the equation. -22 + 22 + 6a = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 6a = -4 + 22 6a = -4 + 22 Combine like terms: -4 + 22 = 18 6a = 18 Divide each side by '6'. a = 3 Simplifying a = 3
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