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Simplifying -35 = -2(4b + -8) + -3(2b + 3) Reorder the terms: -35 = -2(-8 + 4b) + -3(2b + 3) -35 = (-8 * -2 + 4b * -2) + -3(2b + 3) -35 = (16 + -8b) + -3(2b + 3) Reorder the terms: -35 = 16 + -8b + -3(3 + 2b) -35 = 16 + -8b + (3 * -3 + 2b * -3) -35 = 16 + -8b + (-9 + -6b) Reorder the terms: -35 = 16 + -9 + -8b + -6b Combine like terms: 16 + -9 = 7 -35 = 7 + -8b + -6b Combine like terms: -8b + -6b = -14b -35 = 7 + -14b Solving -35 = 7 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. -35 + 14b = 7 + -14b + 14b Combine like terms: -14b + 14b = 0 -35 + 14b = 7 + 0 -35 + 14b = 7 Add '35' to each side of the equation. -35 + 35 + 14b = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 14b = 7 + 35 14b = 7 + 35 Combine like terms: 7 + 35 = 42 14b = 42 Divide each side by '14'. b = 3 Simplifying b = 3
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