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Simplifying 2(3b + -10) = 2(b + -25) + -1b Reorder the terms: 2(-10 + 3b) = 2(b + -25) + -1b (-10 * 2 + 3b * 2) = 2(b + -25) + -1b (-20 + 6b) = 2(b + -25) + -1b Reorder the terms: -20 + 6b = 2(-25 + b) + -1b -20 + 6b = (-25 * 2 + b * 2) + -1b -20 + 6b = (-50 + 2b) + -1b Combine like terms: 2b + -1b = 1b -20 + 6b = -50 + 1b Solving -20 + 6b = -50 + 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. -20 + 6b + -1b = -50 + 1b + -1b Combine like terms: 6b + -1b = 5b -20 + 5b = -50 + 1b + -1b Combine like terms: 1b + -1b = 0 -20 + 5b = -50 + 0 -20 + 5b = -50 Add '20' to each side of the equation. -20 + 20 + 5b = -50 + 20 Combine like terms: -20 + 20 = 0 0 + 5b = -50 + 20 5b = -50 + 20 Combine like terms: -50 + 20 = -30 5b = -30 Divide each side by '5'. b = -6 Simplifying b = -6
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