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Simplifying -1 = -5(b + 3) + 7b Reorder the terms: -1 = -5(3 + b) + 7b -1 = (3 * -5 + b * -5) + 7b -1 = (-15 + -5b) + 7b Combine like terms: -5b + 7b = 2b -1 = -15 + 2b Solving -1 = -15 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -1 + -2b = -15 + 2b + -2b Combine like terms: 2b + -2b = 0 -1 + -2b = -15 + 0 -1 + -2b = -15 Add '1' to each side of the equation. -1 + 1 + -2b = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = -15 + 1 -2b = -15 + 1 Combine like terms: -15 + 1 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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