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Simplifying 4(b + -6) = 7b + 18 Reorder the terms: 4(-6 + b) = 7b + 18 (-6 * 4 + b * 4) = 7b + 18 (-24 + 4b) = 7b + 18 Reorder the terms: -24 + 4b = 18 + 7b Solving -24 + 4b = 18 + 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. -24 + 4b + -7b = 18 + 7b + -7b Combine like terms: 4b + -7b = -3b -24 + -3b = 18 + 7b + -7b Combine like terms: 7b + -7b = 0 -24 + -3b = 18 + 0 -24 + -3b = 18 Add '24' to each side of the equation. -24 + 24 + -3b = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -3b = 18 + 24 -3b = 18 + 24 Combine like terms: 18 + 24 = 42 -3b = 42 Divide each side by '-3'. b = -14 Simplifying b = -14
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