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Simplifying 5(7b + 2) = 10 + -3b Reorder the terms: 5(2 + 7b) = 10 + -3b (2 * 5 + 7b * 5) = 10 + -3b (10 + 35b) = 10 + -3b Add '-10' to each side of the equation. 10 + -10 + 35b = 10 + -10 + -3b Combine like terms: 10 + -10 = 0 0 + 35b = 10 + -10 + -3b 35b = 10 + -10 + -3b Combine like terms: 10 + -10 = 0 35b = 0 + -3b 35b = -3b Solving 35b = -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 35b + 3b = -3b + 3b Combine like terms: 35b + 3b = 38b 38b = -3b + 3b Combine like terms: -3b + 3b = 0 38b = 0 Divide each side by '38'. b = 0 Simplifying b = 0
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