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Simplifying 24a + -22 = -4(1 + -8a) Reorder the terms: -22 + 24a = -4(1 + -8a) -22 + 24a = (1 * -4 + -8a * -4) -22 + 24a = (-4 + 32a) Solving -22 + 24a = -4 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -22 + 24a + -32a = -4 + 32a + -32a Combine like terms: 24a + -32a = -8a -22 + -8a = -4 + 32a + -32a Combine like terms: 32a + -32a = 0 -22 + -8a = -4 + 0 -22 + -8a = -4 Add '22' to each side of the equation. -22 + 22 + -8a = -4 + 22 Combine like terms: -22 + 22 = 0 0 + -8a = -4 + 22 -8a = -4 + 22 Combine like terms: -4 + 22 = 18 -8a = 18 Divide each side by '-8'. a = -2.25 Simplifying a = -2.25
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