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Simplifying 7b + -6(b + -5) = 10 + 5b Reorder the terms: 7b + -6(-5 + b) = 10 + 5b 7b + (-5 * -6 + b * -6) = 10 + 5b 7b + (30 + -6b) = 10 + 5b Reorder the terms: 30 + 7b + -6b = 10 + 5b Combine like terms: 7b + -6b = 1b 30 + 1b = 10 + 5b Solving 30 + 1b = 10 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 30 + 1b + -5b = 10 + 5b + -5b Combine like terms: 1b + -5b = -4b 30 + -4b = 10 + 5b + -5b Combine like terms: 5b + -5b = 0 30 + -4b = 10 + 0 30 + -4b = 10 Add '-30' to each side of the equation. 30 + -30 + -4b = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4b = 10 + -30 -4b = 10 + -30 Combine like terms: 10 + -30 = -20 -4b = -20 Divide each side by '-4'. b = 5 Simplifying b = 5
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