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Simplifying 7b + -35 = -4(5b + 2) Reorder the terms: -35 + 7b = -4(5b + 2) Reorder the terms: -35 + 7b = -4(2 + 5b) -35 + 7b = (2 * -4 + 5b * -4) -35 + 7b = (-8 + -20b) Solving -35 + 7b = -8 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. -35 + 7b + 20b = -8 + -20b + 20b Combine like terms: 7b + 20b = 27b -35 + 27b = -8 + -20b + 20b Combine like terms: -20b + 20b = 0 -35 + 27b = -8 + 0 -35 + 27b = -8 Add '35' to each side of the equation. -35 + 35 + 27b = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 27b = -8 + 35 27b = -8 + 35 Combine like terms: -8 + 35 = 27 27b = 27 Divide each side by '27'. b = 1 Simplifying b = 1
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