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Simplifying 5b + 3b + -1 = 7(b + 2) Reorder the terms: -1 + 5b + 3b = 7(b + 2) Combine like terms: 5b + 3b = 8b -1 + 8b = 7(b + 2) Reorder the terms: -1 + 8b = 7(2 + b) -1 + 8b = (2 * 7 + b * 7) -1 + 8b = (14 + 7b) Solving -1 + 8b = 14 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -1 + 8b + -7b = 14 + 7b + -7b Combine like terms: 8b + -7b = 1b -1 + 1b = 14 + 7b + -7b Combine like terms: 7b + -7b = 0 -1 + 1b = 14 + 0 -1 + 1b = 14 Add '1' to each side of the equation. -1 + 1 + 1b = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 1b = 14 + 1 1b = 14 + 1 Combine like terms: 14 + 1 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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