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Simplifying 15 + b = -7(b + -3) + 2 Reorder the terms: 15 + b = -7(-3 + b) + 2 15 + b = (-3 * -7 + b * -7) + 2 15 + b = (21 + -7b) + 2 Reorder the terms: 15 + b = 21 + 2 + -7b Combine like terms: 21 + 2 = 23 15 + b = 23 + -7b Solving 15 + b = 23 + -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. 15 + b + 7b = 23 + -7b + 7b Combine like terms: b + 7b = 8b 15 + 8b = 23 + -7b + 7b Combine like terms: -7b + 7b = 0 15 + 8b = 23 + 0 15 + 8b = 23 Add '-15' to each side of the equation. 15 + -15 + 8b = 23 + -15 Combine like terms: 15 + -15 = 0 0 + 8b = 23 + -15 8b = 23 + -15 Combine like terms: 23 + -15 = 8 8b = 8 Divide each side by '8'. b = 1 Simplifying b = 1
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