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Simplifying -52 = -2(-8 + 6b) + 2(6 + -4b) -52 = (-8 * -2 + 6b * -2) + 2(6 + -4b) -52 = (16 + -12b) + 2(6 + -4b) -52 = 16 + -12b + (6 * 2 + -4b * 2) -52 = 16 + -12b + (12 + -8b) Reorder the terms: -52 = 16 + 12 + -12b + -8b Combine like terms: 16 + 12 = 28 -52 = 28 + -12b + -8b Combine like terms: -12b + -8b = -20b -52 = 28 + -20b Solving -52 = 28 + -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. -52 + 20b = 28 + -20b + 20b Combine like terms: -20b + 20b = 0 -52 + 20b = 28 + 0 -52 + 20b = 28 Add '52' to each side of the equation. -52 + 52 + 20b = 28 + 52 Combine like terms: -52 + 52 = 0 0 + 20b = 28 + 52 20b = 28 + 52 Combine like terms: 28 + 52 = 80 20b = 80 Divide each side by '20'. b = 4 Simplifying b = 4
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