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Simplifying -36 + 8a = -7(-1a + 4) Reorder the terms: -36 + 8a = -7(4 + -1a) -36 + 8a = (4 * -7 + -1a * -7) -36 + 8a = (-28 + 7a) Solving -36 + 8a = -28 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -36 + 8a + -7a = -28 + 7a + -7a Combine like terms: 8a + -7a = 1a -36 + 1a = -28 + 7a + -7a Combine like terms: 7a + -7a = 0 -36 + 1a = -28 + 0 -36 + 1a = -28 Add '36' to each side of the equation. -36 + 36 + 1a = -28 + 36 Combine like terms: -36 + 36 = 0 0 + 1a = -28 + 36 1a = -28 + 36 Combine like terms: -28 + 36 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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