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Simplifying -7a + -1(8 + -2a) = -4(a + 5) -7a + (8 * -1 + -2a * -1) = -4(a + 5) -7a + (-8 + 2a) = -4(a + 5) Reorder the terms: -8 + -7a + 2a = -4(a + 5) Combine like terms: -7a + 2a = -5a -8 + -5a = -4(a + 5) Reorder the terms: -8 + -5a = -4(5 + a) -8 + -5a = (5 * -4 + a * -4) -8 + -5a = (-20 + -4a) Solving -8 + -5a = -20 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -8 + -5a + 4a = -20 + -4a + 4a Combine like terms: -5a + 4a = -1a -8 + -1a = -20 + -4a + 4a Combine like terms: -4a + 4a = 0 -8 + -1a = -20 + 0 -8 + -1a = -20 Add '8' to each side of the equation. -8 + 8 + -1a = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = -20 + 8 -1a = -20 + 8 Combine like terms: -20 + 8 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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