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Simplifying 7(2b + 2) + -3(2 + -2b) = -72 Reorder the terms: 7(2 + 2b) + -3(2 + -2b) = -72 (2 * 7 + 2b * 7) + -3(2 + -2b) = -72 (14 + 14b) + -3(2 + -2b) = -72 14 + 14b + (2 * -3 + -2b * -3) = -72 14 + 14b + (-6 + 6b) = -72 Reorder the terms: 14 + -6 + 14b + 6b = -72 Combine like terms: 14 + -6 = 8 8 + 14b + 6b = -72 Combine like terms: 14b + 6b = 20b 8 + 20b = -72 Solving 8 + 20b = -72 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 20b = -72 + -8 Combine like terms: 8 + -8 = 0 0 + 20b = -72 + -8 20b = -72 + -8 Combine like terms: -72 + -8 = -80 20b = -80 Divide each side by '20'. b = -4 Simplifying b = -4
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