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Simplifying 5(2b + -2) = 2(3b + 15) Reorder the terms: 5(-2 + 2b) = 2(3b + 15) (-2 * 5 + 2b * 5) = 2(3b + 15) (-10 + 10b) = 2(3b + 15) Reorder the terms: -10 + 10b = 2(15 + 3b) -10 + 10b = (15 * 2 + 3b * 2) -10 + 10b = (30 + 6b) Solving -10 + 10b = 30 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -10 + 10b + -6b = 30 + 6b + -6b Combine like terms: 10b + -6b = 4b -10 + 4b = 30 + 6b + -6b Combine like terms: 6b + -6b = 0 -10 + 4b = 30 + 0 -10 + 4b = 30 Add '10' to each side of the equation. -10 + 10 + 4b = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 4b = 30 + 10 4b = 30 + 10 Combine like terms: 30 + 10 = 40 4b = 40 Divide each side by '4'. b = 10 Simplifying b = 10
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