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Simplifying 172 = 4(1 + -6a) 172 = (1 * 4 + -6a * 4) 172 = (4 + -24a) Solving 172 = 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. 172 + 24a = 4 + -24a + 24a Combine like terms: -24a + 24a = 0 172 + 24a = 4 + 0 172 + 24a = 4 Add '-172' to each side of the equation. 172 + -172 + 24a = 4 + -172 Combine like terms: 172 + -172 = 0 0 + 24a = 4 + -172 24a = 4 + -172 Combine like terms: 4 + -172 = -168 24a = -168 Divide each side by '24'. a = -7 Simplifying a = -7
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