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Simplifying -4a + -36 = -4(1 + 2a) Reorder the terms: -36 + -4a = -4(1 + 2a) -36 + -4a = (1 * -4 + 2a * -4) -36 + -4a = (-4 + -8a) Solving -36 + -4a = -4 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -36 + -4a + 8a = -4 + -8a + 8a Combine like terms: -4a + 8a = 4a -36 + 4a = -4 + -8a + 8a Combine like terms: -8a + 8a = 0 -36 + 4a = -4 + 0 -36 + 4a = -4 Add '36' to each side of the equation. -36 + 36 + 4a = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4a = -4 + 36 4a = -4 + 36 Combine like terms: -4 + 36 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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