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Simplifying 4b + -2 = 5(2 + 2b) + 5 Reorder the terms: -2 + 4b = 5(2 + 2b) + 5 -2 + 4b = (2 * 5 + 2b * 5) + 5 -2 + 4b = (10 + 10b) + 5 Reorder the terms: -2 + 4b = 10 + 5 + 10b Combine like terms: 10 + 5 = 15 -2 + 4b = 15 + 10b Solving -2 + 4b = 15 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -2 + 4b + -10b = 15 + 10b + -10b Combine like terms: 4b + -10b = -6b -2 + -6b = 15 + 10b + -10b Combine like terms: 10b + -10b = 0 -2 + -6b = 15 + 0 -2 + -6b = 15 Add '2' to each side of the equation. -2 + 2 + -6b = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -6b = 15 + 2 -6b = 15 + 2 Combine like terms: 15 + 2 = 17 -6b = 17 Divide each side by '-6'. b = -2.833333333 Simplifying b = -2.833333333
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