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Simplifying 10 + -1b = -1(5b + -6) + 36 Reorder the terms: 10 + -1b = -1(-6 + 5b) + 36 10 + -1b = (-6 * -1 + 5b * -1) + 36 10 + -1b = (6 + -5b) + 36 Reorder the terms: 10 + -1b = 6 + 36 + -5b Combine like terms: 6 + 36 = 42 10 + -1b = 42 + -5b Solving 10 + -1b = 42 + -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 = 42 + -5b + 5b Combine like terms: -1b + 5b = 4b 10 + 4b = 42 + -5b + 5b Combine like terms: -5b + 5b = 0 10 + 4b = 42 + 0 10 + 4b = 42 Add '-10' to each side of the equation. 10 + -10 + 4b = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 4b = 42 + -10 4b = 42 + -10 Combine like terms: 42 + -10 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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