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Simplifying 2(7b + -8) = -28 + 6b Reorder the terms: 2(-8 + 7b) = -28 + 6b (-8 * 2 + 7b * 2) = -28 + 6b (-16 + 14b) = -28 + 6b Solving -16 + 14b = -28 + 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. -16 + 14b + -6b = -28 + 6b + -6b Combine like terms: 14b + -6b = 8b -16 + 8b = -28 + 6b + -6b Combine like terms: 6b + -6b = 0 -16 + 8b = -28 + 0 -16 + 8b = -28 Add '16' to each side of the equation. -16 + 16 + 8b = -28 + 16 Combine like terms: -16 + 16 = 0 0 + 8b = -28 + 16 8b = -28 + 16 Combine like terms: -28 + 16 = -12 8b = -12 Divide each side by '8'. b = -1.5 Simplifying b = -1.5
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