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Simplifying 7b + -4(2b + 2) + -1(4 + -4b) = 18 Reorder the terms: 7b + -4(2 + 2b) + -1(4 + -4b) = 18 7b + (2 * -4 + 2b * -4) + -1(4 + -4b) = 18 7b + (-8 + -8b) + -1(4 + -4b) = 18 7b + -8 + -8b + (4 * -1 + -4b * -1) = 18 7b + -8 + -8b + (-4 + 4b) = 18 Reorder the terms: -8 + -4 + 7b + -8b + 4b = 18 Combine like terms: -8 + -4 = -12 -12 + 7b + -8b + 4b = 18 Combine like terms: 7b + -8b = -1b -12 + -1b + 4b = 18 Combine like terms: -1b + 4b = 3b -12 + 3b = 18 Solving -12 + 3b = 18 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3b = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 3b = 18 + 12 3b = 18 + 12 Combine like terms: 18 + 12 = 30 3b = 30 Divide each side by '3'. b = 10 Simplifying b = 10
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