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Simplifying 4(2b + -4) + 1 = -47 Reorder the terms: 4(-4 + 2b) + 1 = -47 (-4 * 4 + 2b * 4) + 1 = -47 (-16 + 8b) + 1 = -47 Reorder the terms: -16 + 1 + 8b = -47 Combine like terms: -16 + 1 = -15 -15 + 8b = -47 Solving -15 + 8b = -47 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8b = -47 + 15 Combine like terms: -15 + 15 = 0 0 + 8b = -47 + 15 8b = -47 + 15 Combine like terms: -47 + 15 = -32 8b = -32 Divide each side by '8'. b = -4 Simplifying b = -4
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