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Simplifying 7(b + -6) + 8 = 15 Reorder the terms: 7(-6 + b) + 8 = 15 (-6 * 7 + b * 7) + 8 = 15 (-42 + 7b) + 8 = 15 Reorder the terms: -42 + 8 + 7b = 15 Combine like terms: -42 + 8 = -34 -34 + 7b = 15 Solving -34 + 7b = 15 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 7b = 15 + 34 Combine like terms: -34 + 34 = 0 0 + 7b = 15 + 34 7b = 15 + 34 Combine like terms: 15 + 34 = 49 7b = 49 Divide each side by '7'. b = 7 Simplifying b = 7
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