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Simplifying 42a + -22 = -4(1 + -6a) Reorder the terms: -22 + 42a = -4(1 + -6a) -22 + 42a = (1 * -4 + -6a * -4) -22 + 42a = (-4 + 24a) Solving -22 + 42a = -4 + 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. -22 + 42a + -24a = -4 + 24a + -24a Combine like terms: 42a + -24a = 18a -22 + 18a = -4 + 24a + -24a Combine like terms: 24a + -24a = 0 -22 + 18a = -4 + 0 -22 + 18a = -4 Add '22' to each side of the equation. -22 + 22 + 18a = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 18a = -4 + 22 18a = -4 + 22 Combine like terms: -4 + 22 = 18 18a = 18 Divide each side by '18'. a = 1 Simplifying a = 1
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