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Simplifying -18 + 5b = -5(b + -5) + 7 Reorder the terms: -18 + 5b = -5(-5 + b) + 7 -18 + 5b = (-5 * -5 + b * -5) + 7 -18 + 5b = (25 + -5b) + 7 Reorder the terms: -18 + 5b = 25 + 7 + -5b Combine like terms: 25 + 7 = 32 -18 + 5b = 32 + -5b Solving -18 + 5b = 32 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -18 + 5b + 5b = 32 + -5b + 5b Combine like terms: 5b + 5b = 10b -18 + 10b = 32 + -5b + 5b Combine like terms: -5b + 5b = 0 -18 + 10b = 32 + 0 -18 + 10b = 32 Add '18' to each side of the equation. -18 + 18 + 10b = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 10b = 32 + 18 10b = 32 + 18 Combine like terms: 32 + 18 = 50 10b = 50 Divide each side by '10'. b = 5 Simplifying b = 5
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