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Simplifying -5(2b + 2) = 30 + -2b Reorder the terms: -5(2 + 2b) = 30 + -2b (2 * -5 + 2b * -5) = 30 + -2b (-10 + -10b) = 30 + -2b Solving -10 + -10b = 30 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -10 + -10b + 2b = 30 + -2b + 2b Combine like terms: -10b + 2b = -8b -10 + -8b = 30 + -2b + 2b Combine like terms: -2b + 2b = 0 -10 + -8b = 30 + 0 -10 + -8b = 30 Add '10' to each side of the equation. -10 + 10 + -8b = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -8b = 30 + 10 -8b = 30 + 10 Combine like terms: 30 + 10 = 40 -8b = 40 Divide each side by '-8'. b = -5 Simplifying b = -5
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