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Simplifying 2 + 5b = 7 + -5(-2b + 4) Reorder the terms: 2 + 5b = 7 + -5(4 + -2b) 2 + 5b = 7 + (4 * -5 + -2b * -5) 2 + 5b = 7 + (-20 + 10b) Combine like terms: 7 + -20 = -13 2 + 5b = -13 + 10b Solving 2 + 5b = -13 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 2 + 5b + -10b = -13 + 10b + -10b Combine like terms: 5b + -10b = -5b 2 + -5b = -13 + 10b + -10b Combine like terms: 10b + -10b = 0 2 + -5b = -13 + 0 2 + -5b = -13 Add '-2' to each side of the equation. 2 + -2 + -5b = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -5b = -13 + -2 -5b = -13 + -2 Combine like terms: -13 + -2 = -15 -5b = -15 Divide each side by '-5'. b = 3 Simplifying b = 3
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