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Simplifying -7(1 + 5a) + 4 = 172 (1 * -7 + 5a * -7) + 4 = 172 (-7 + -35a) + 4 = 172 Reorder the terms: -7 + 4 + -35a = 172 Combine like terms: -7 + 4 = -3 -3 + -35a = 172 Solving -3 + -35a = 172 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -35a = 172 + 3 Combine like terms: -3 + 3 = 0 0 + -35a = 172 + 3 -35a = 172 + 3 Combine like terms: 172 + 3 = 175 -35a = 175 Divide each side by '-35'. a = -5 Simplifying a = -5
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