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Simplifying -1a + -4(2 + 2a) = -1a + 8(a + -1) -1a + (2 * -4 + 2a * -4) = -1a + 8(a + -1) -1a + (-8 + -8a) = -1a + 8(a + -1) Reorder the terms: -8 + -1a + -8a = -1a + 8(a + -1) Combine like terms: -1a + -8a = -9a -8 + -9a = -1a + 8(a + -1) Reorder the terms: -8 + -9a = -1a + 8(-1 + a) -8 + -9a = -1a + (-1 * 8 + a * 8) -8 + -9a = -1a + (-8 + 8a) Reorder the terms: -8 + -9a = -8 + -1a + 8a Combine like terms: -1a + 8a = 7a -8 + -9a = -8 + 7a Add '8' to each side of the equation. -8 + 8 + -9a = -8 + 8 + 7a Combine like terms: -8 + 8 = 0 0 + -9a = -8 + 8 + 7a -9a = -8 + 8 + 7a Combine like terms: -8 + 8 = 0 -9a = 0 + 7a -9a = 7a Solving -9a = 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. -9a + -7a = 7a + -7a Combine like terms: -9a + -7a = -16a -16a = 7a + -7a Combine like terms: 7a + -7a = 0 -16a = 0 Divide each side by '-16'. a = 0 Simplifying a = 0
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