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Simplifying 2b + -7(b + -4) = -13 + -4b Reorder the terms: 2b + -7(-4 + b) = -13 + -4b 2b + (-4 * -7 + b * -7) = -13 + -4b 2b + (28 + -7b) = -13 + -4b Reorder the terms: 28 + 2b + -7b = -13 + -4b Combine like terms: 2b + -7b = -5b 28 + -5b = -13 + -4b Solving 28 + -5b = -13 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 28 + -5b + 4b = -13 + -4b + 4b Combine like terms: -5b + 4b = -1b 28 + -1b = -13 + -4b + 4b Combine like terms: -4b + 4b = 0 28 + -1b = -13 + 0 28 + -1b = -13 Add '-28' to each side of the equation. 28 + -28 + -1b = -13 + -28 Combine like terms: 28 + -28 = 0 0 + -1b = -13 + -28 -1b = -13 + -28 Combine like terms: -13 + -28 = -41 -1b = -41 Divide each side by '-1'. b = 41 Simplifying b = 41
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