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Simplifying -6b + -15 = 2(1 + -4b) + -7 Reorder the terms: -15 + -6b = 2(1 + -4b) + -7 -15 + -6b = (1 * 2 + -4b * 2) + -7 -15 + -6b = (2 + -8b) + -7 Reorder the terms: -15 + -6b = 2 + -7 + -8b Combine like terms: 2 + -7 = -5 -15 + -6b = -5 + -8b Solving -15 + -6b = -5 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -15 + -6b + 8b = -5 + -8b + 8b Combine like terms: -6b + 8b = 2b -15 + 2b = -5 + -8b + 8b Combine like terms: -8b + 8b = 0 -15 + 2b = -5 + 0 -15 + 2b = -5 Add '15' to each side of the equation. -15 + 15 + 2b = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 2b = -5 + 15 2b = -5 + 15 Combine like terms: -5 + 15 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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