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Simplifying 2b + -2(3b + -4) = -6(b + 2) + 30 + b Reorder the terms: 2b + -2(-4 + 3b) = -6(b + 2) + 30 + b 2b + (-4 * -2 + 3b * -2) = -6(b + 2) + 30 + b 2b + (8 + -6b) = -6(b + 2) + 30 + b Reorder the terms: 8 + 2b + -6b = -6(b + 2) + 30 + b Combine like terms: 2b + -6b = -4b 8 + -4b = -6(b + 2) + 30 + b Reorder the terms: 8 + -4b = -6(2 + b) + 30 + b 8 + -4b = (2 * -6 + b * -6) + 30 + b 8 + -4b = (-12 + -6b) + 30 + b Reorder the terms: 8 + -4b = -12 + 30 + -6b + b Combine like terms: -12 + 30 = 18 8 + -4b = 18 + -6b + b Combine like terms: -6b + b = -5b 8 + -4b = 18 + -5b Solving 8 + -4b = 18 + -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. 8 + -4b + 5b = 18 + -5b + 5b Combine like terms: -4b + 5b = 1b 8 + 1b = 18 + -5b + 5b Combine like terms: -5b + 5b = 0 8 + 1b = 18 + 0 8 + 1b = 18 Add '-8' to each side of the equation. 8 + -8 + 1b = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 1b = 18 + -8 1b = 18 + -8 Combine like terms: 18 + -8 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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