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Simplifying 18 + -4(2x + -2b) = 5b + 2x Reorder the terms: 18 + -4(-2b + 2x) = 5b + 2x 18 + (-2b * -4 + 2x * -4) = 5b + 2x 18 + (8b + -8x) = 5b + 2x Solving 18 + 8b + -8x = 5b + 2x 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. 18 + 8b + -5b + -8x = 5b + -5b + 2x Combine like terms: 8b + -5b = 3b 18 + 3b + -8x = 5b + -5b + 2x Combine like terms: 5b + -5b = 0 18 + 3b + -8x = 0 + 2x 18 + 3b + -8x = 2x Add '-18' to each side of the equation. 18 + 3b + -18 + -8x = -18 + 2x Reorder the terms: 18 + -18 + 3b + -8x = -18 + 2x Combine like terms: 18 + -18 = 0 0 + 3b + -8x = -18 + 2x 3b + -8x = -18 + 2x Add '8x' to each side of the equation. 3b + -8x + 8x = -18 + 2x + 8x Combine like terms: -8x + 8x = 0 3b + 0 = -18 + 2x + 8x 3b = -18 + 2x + 8x Combine like terms: 2x + 8x = 10x 3b = -18 + 10x Divide each side by '3'. b = -6 + 3.333333333x Simplifying b = -6 + 3.333333333x
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