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Simplifying -1b + 10 = -5(b + -6) Reorder the terms: 10 + -1b = -5(b + -6) Reorder the terms: 10 + -1b = -5(-6 + b) 10 + -1b = (-6 * -5 + b * -5) 10 + -1b = (30 + -5b) Solving 10 + -1b = 30 + -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. 10 + -1b + 5b = 30 + -5b + 5b Combine like terms: -1b + 5b = 4b 10 + 4b = 30 + -5b + 5b Combine like terms: -5b + 5b = 0 10 + 4b = 30 + 0 10 + 4b = 30 Add '-10' to each side of the equation. 10 + -10 + 4b = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 4b = 30 + -10 4b = 30 + -10 Combine like terms: 30 + -10 = 20 4b = 20 Divide each side by '4'. b = 5 Simplifying b = 5
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