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Simplifying -5b + 10 = 3b + -2(b + -5) Reorder the terms: 10 + -5b = 3b + -2(b + -5) Reorder the terms: 10 + -5b = 3b + -2(-5 + b) 10 + -5b = 3b + (-5 * -2 + b * -2) 10 + -5b = 3b + (10 + -2b) Reorder the terms: 10 + -5b = 10 + 3b + -2b Combine like terms: 3b + -2b = 1b 10 + -5b = 10 + 1b Add '-10' to each side of the equation. 10 + -10 + -5b = 10 + -10 + 1b Combine like terms: 10 + -10 = 0 0 + -5b = 10 + -10 + 1b -5b = 10 + -10 + 1b Combine like terms: 10 + -10 = 0 -5b = 0 + 1b -5b = 1b Solving -5b = 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -5b + -1b = 1b + -1b Combine like terms: -5b + -1b = -6b -6b = 1b + -1b Combine like terms: 1b + -1b = 0 -6b = 0 Divide each side by '-6'. b = 0 Simplifying b = 0
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