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Simplifying 4a + 8(b + 1) = 3(2b + -8) + -16 Reorder the terms: 4a + 8(1 + b) = 3(2b + -8) + -16 4a + (1 * 8 + b * 8) = 3(2b + -8) + -16 4a + (8 + 8b) = 3(2b + -8) + -16 Reorder the terms: 8 + 4a + 8b = 3(2b + -8) + -16 Reorder the terms: 8 + 4a + 8b = 3(-8 + 2b) + -16 8 + 4a + 8b = (-8 * 3 + 2b * 3) + -16 8 + 4a + 8b = (-24 + 6b) + -16 Reorder the terms: 8 + 4a + 8b = -24 + -16 + 6b Combine like terms: -24 + -16 = -40 8 + 4a + 8b = -40 + 6b Solving 8 + 4a + 8b = -40 + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4a + -8 + 8b = -40 + -8 + 6b Reorder the terms: 8 + -8 + 4a + 8b = -40 + -8 + 6b Combine like terms: 8 + -8 = 0 0 + 4a + 8b = -40 + -8 + 6b 4a + 8b = -40 + -8 + 6b Combine like terms: -40 + -8 = -48 4a + 8b = -48 + 6b Add '-8b' to each side of the equation. 4a + 8b + -8b = -48 + 6b + -8b Combine like terms: 8b + -8b = 0 4a + 0 = -48 + 6b + -8b 4a = -48 + 6b + -8b Combine like terms: 6b + -8b = -2b 4a = -48 + -2b Divide each side by '4'. a = -12 + -0.5b Simplifying a = -12 + -0.5b
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