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Simplifying 18 + -7b = -7b + -6(b + 5) Reorder the terms: 18 + -7b = -7b + -6(5 + b) 18 + -7b = -7b + (5 * -6 + b * -6) 18 + -7b = -7b + (-30 + -6b) Reorder the terms: 18 + -7b = -30 + -7b + -6b Combine like terms: -7b + -6b = -13b 18 + -7b = -30 + -13b Solving 18 + -7b = -30 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. 18 + -7b + 13b = -30 + -13b + 13b Combine like terms: -7b + 13b = 6b 18 + 6b = -30 + -13b + 13b Combine like terms: -13b + 13b = 0 18 + 6b = -30 + 0 18 + 6b = -30 Add '-18' to each side of the equation. 18 + -18 + 6b = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 6b = -30 + -18 6b = -30 + -18 Combine like terms: -30 + -18 = -48 6b = -48 Divide each side by '6'. b = -8 Simplifying b = -8
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