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Simplifying -91 = 4(3a + -6) + 5 Reorder the terms: -91 = 4(-6 + 3a) + 5 -91 = (-6 * 4 + 3a * 4) + 5 -91 = (-24 + 12a) + 5 Reorder the terms: -91 = -24 + 5 + 12a Combine like terms: -24 + 5 = -19 -91 = -19 + 12a Solving -91 = -19 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -91 + -12a = -19 + 12a + -12a Combine like terms: 12a + -12a = 0 -91 + -12a = -19 + 0 -91 + -12a = -19 Add '91' to each side of the equation. -91 + 91 + -12a = -19 + 91 Combine like terms: -91 + 91 = 0 0 + -12a = -19 + 91 -12a = -19 + 91 Combine like terms: -19 + 91 = 72 -12a = 72 Divide each side by '-12'. a = -6 Simplifying a = -6
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