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Simplifying -186 = 4 + 5(7a + -3) Reorder the terms: -186 = 4 + 5(-3 + 7a) -186 = 4 + (-3 * 5 + 7a * 5) -186 = 4 + (-15 + 35a) Combine like terms: 4 + -15 = -11 -186 = -11 + 35a Solving -186 = -11 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -186 + -35a = -11 + 35a + -35a Combine like terms: 35a + -35a = 0 -186 + -35a = -11 + 0 -186 + -35a = -11 Add '186' to each side of the equation. -186 + 186 + -35a = -11 + 186 Combine like terms: -186 + 186 = 0 0 + -35a = -11 + 186 -35a = -11 + 186 Combine like terms: -11 + 186 = 175 -35a = 175 Divide each side by '-35'. a = -5 Simplifying a = -5
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