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Simplifying 42 + 3b = -4b + -15 Reorder the terms: 42 + 3b = -15 + -4b Solving 42 + 3b = -15 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 42 + 3b + 4b = -15 + -4b + 4b Combine like terms: 3b + 4b = 7b 42 + 7b = -15 + -4b + 4b Combine like terms: -4b + 4b = 0 42 + 7b = -15 + 0 42 + 7b = -15 Add '-42' to each side of the equation. 42 + -42 + 7b = -15 + -42 Combine like terms: 42 + -42 = 0 0 + 7b = -15 + -42 7b = -15 + -42 Combine like terms: -15 + -42 = -57 7b = -57 Divide each side by '7'. b = -8.142857143 Simplifying b = -8.142857143
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