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Simplifying 4(a + 8) = 0.5(4a + -8) Reorder the terms: 4(8 + a) = 0.5(4a + -8) (8 * 4 + a * 4) = 0.5(4a + -8) (32 + 4a) = 0.5(4a + -8) Reorder the terms: 32 + 4a = 0.5(-8 + 4a) 32 + 4a = (-8 * 0.5 + 4a * 0.5) 32 + 4a = (-4 + 2a) Solving 32 + 4a = -4 + 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 + 4a + -2a = -4 + 2a + -2a Combine like terms: 4a + -2a = 2a 32 + 2a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 32 + 2a = -4 + 0 32 + 2a = -4 Add '-32' to each side of the equation. 32 + -32 + 2a = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 2a = -4 + -32 2a = -4 + -32 Combine like terms: -4 + -32 = -36 2a = -36 Divide each side by '2'. a = -18 Simplifying a = -18
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