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Simplifying 4(2a + -8) + -1a = 2(a + -1) Reorder the terms: 4(-8 + 2a) + -1a = 2(a + -1) (-8 * 4 + 2a * 4) + -1a = 2(a + -1) (-32 + 8a) + -1a = 2(a + -1) Combine like terms: 8a + -1a = 7a -32 + 7a = 2(a + -1) Reorder the terms: -32 + 7a = 2(-1 + a) -32 + 7a = (-1 * 2 + a * 2) -32 + 7a = (-2 + 2a) Solving -32 + 7a = -2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -32 + 7a + -2a = -2 + 2a + -2a Combine like terms: 7a + -2a = 5a -32 + 5a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -32 + 5a = -2 + 0 -32 + 5a = -2 Add '32' to each side of the equation. -32 + 32 + 5a = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 5a = -2 + 32 5a = -2 + 32 Combine like terms: -2 + 32 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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