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Simplifying -4(b + -7) = b + 38 Reorder the terms: -4(-7 + b) = b + 38 (-7 * -4 + b * -4) = b + 38 (28 + -4b) = b + 38 Reorder the terms: 28 + -4b = 38 + b Solving 28 + -4b = 38 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 28 + -4b + -1b = 38 + b + -1b Combine like terms: -4b + -1b = -5b 28 + -5b = 38 + b + -1b Combine like terms: b + -1b = 0 28 + -5b = 38 + 0 28 + -5b = 38 Add '-28' to each side of the equation. 28 + -28 + -5b = 38 + -28 Combine like terms: 28 + -28 = 0 0 + -5b = 38 + -28 -5b = 38 + -28 Combine like terms: 38 + -28 = 10 -5b = 10 Divide each side by '-5'. b = -2 Simplifying b = -2
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