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Simplifying -172 = 5a + 7(-1 + 4a) -172 = 5a + (-1 * 7 + 4a * 7) -172 = 5a + (-7 + 28a) Reorder the terms: -172 = -7 + 5a + 28a Combine like terms: 5a + 28a = 33a -172 = -7 + 33a Solving -172 = -7 + 33a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33a' to each side of the equation. -172 + -33a = -7 + 33a + -33a Combine like terms: 33a + -33a = 0 -172 + -33a = -7 + 0 -172 + -33a = -7 Add '172' to each side of the equation. -172 + 172 + -33a = -7 + 172 Combine like terms: -172 + 172 = 0 0 + -33a = -7 + 172 -33a = -7 + 172 Combine like terms: -7 + 172 = 165 -33a = 165 Divide each side by '-33'. a = -5 Simplifying a = -5
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