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Simplifying -18 + 2b = 6 + -2(b + 2) Reorder the terms: -18 + 2b = 6 + -2(2 + b) -18 + 2b = 6 + (2 * -2 + b * -2) -18 + 2b = 6 + (-4 + -2b) Combine like terms: 6 + -4 = 2 -18 + 2b = 2 + -2b Solving -18 + 2b = 2 + -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. -18 + 2b + 2b = 2 + -2b + 2b Combine like terms: 2b + 2b = 4b -18 + 4b = 2 + -2b + 2b Combine like terms: -2b + 2b = 0 -18 + 4b = 2 + 0 -18 + 4b = 2 Add '18' to each side of the equation. -18 + 18 + 4b = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 4b = 2 + 18 4b = 2 + 18 Combine like terms: 2 + 18 = 20 4b = 20 Divide each side by '4'. b = 5 Simplifying b = 5
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