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Simplifying -8 + 4(b + -4) = 6b + -7 Reorder the terms: -8 + 4(-4 + b) = 6b + -7 -8 + (-4 * 4 + b * 4) = 6b + -7 -8 + (-16 + 4b) = 6b + -7 Combine like terms: -8 + -16 = -24 -24 + 4b = 6b + -7 Reorder the terms: -24 + 4b = -7 + 6b Solving -24 + 4b = -7 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -24 + 4b + -6b = -7 + 6b + -6b Combine like terms: 4b + -6b = -2b -24 + -2b = -7 + 6b + -6b Combine like terms: 6b + -6b = 0 -24 + -2b = -7 + 0 -24 + -2b = -7 Add '24' to each side of the equation. -24 + 24 + -2b = -7 + 24 Combine like terms: -24 + 24 = 0 0 + -2b = -7 + 24 -2b = -7 + 24 Combine like terms: -7 + 24 = 17 -2b = 17 Divide each side by '-2'. b = -8.5 Simplifying b = -8.5
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