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Simplifying 4(b + -8) = 7b + 4 Reorder the terms: 4(-8 + b) = 7b + 4 (-8 * 4 + b * 4) = 7b + 4 (-32 + 4b) = 7b + 4 Reorder the terms: -32 + 4b = 4 + 7b Solving -32 + 4b = 4 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -32 + 4b + -7b = 4 + 7b + -7b Combine like terms: 4b + -7b = -3b -32 + -3b = 4 + 7b + -7b Combine like terms: 7b + -7b = 0 -32 + -3b = 4 + 0 -32 + -3b = 4 Add '32' to each side of the equation. -32 + 32 + -3b = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -3b = 4 + 32 -3b = 4 + 32 Combine like terms: 4 + 32 = 36 -3b = 36 Divide each side by '-3'. b = -12 Simplifying b = -12
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