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Simplifying -15 + 3b = -6(-5 + -7b) + -6 -15 + 3b = (-5 * -6 + -7b * -6) + -6 -15 + 3b = (30 + 42b) + -6 Reorder the terms: -15 + 3b = 30 + -6 + 42b Combine like terms: 30 + -6 = 24 -15 + 3b = 24 + 42b Solving -15 + 3b = 24 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. -15 + 3b + -42b = 24 + 42b + -42b Combine like terms: 3b + -42b = -39b -15 + -39b = 24 + 42b + -42b Combine like terms: 42b + -42b = 0 -15 + -39b = 24 + 0 -15 + -39b = 24 Add '15' to each side of the equation. -15 + 15 + -39b = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -39b = 24 + 15 -39b = 24 + 15 Combine like terms: 24 + 15 = 39 -39b = 39 Divide each side by '-39'. b = -1 Simplifying b = -1
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