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Simplifying -35 = -5 + 6(b + -8) Reorder the terms: -35 = -5 + 6(-8 + b) -35 = -5 + (-8 * 6 + b * 6) -35 = -5 + (-48 + 6b) Combine like terms: -5 + -48 = -53 -35 = -53 + 6b Solving -35 = -53 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -35 + -6b = -53 + 6b + -6b Combine like terms: 6b + -6b = 0 -35 + -6b = -53 + 0 -35 + -6b = -53 Add '35' to each side of the equation. -35 + 35 + -6b = -53 + 35 Combine like terms: -35 + 35 = 0 0 + -6b = -53 + 35 -6b = -53 + 35 Combine like terms: -53 + 35 = -18 -6b = -18 Divide each side by '-6'. b = 3 Simplifying b = 3
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