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Simplifying -72 = 6(-7 + 7b) + 6(b + -5) -72 = (-7 * 6 + 7b * 6) + 6(b + -5) -72 = (-42 + 42b) + 6(b + -5) Reorder the terms: -72 = -42 + 42b + 6(-5 + b) -72 = -42 + 42b + (-5 * 6 + b * 6) -72 = -42 + 42b + (-30 + 6b) Reorder the terms: -72 = -42 + -30 + 42b + 6b Combine like terms: -42 + -30 = -72 -72 = -72 + 42b + 6b Combine like terms: 42b + 6b = 48b -72 = -72 + 48b Add '72' to each side of the equation. -72 + 72 = -72 + 72 + 48b Combine like terms: -72 + 72 = 0 0 = -72 + 72 + 48b Combine like terms: -72 + 72 = 0 0 = 0 + 48b 0 = 48b Solving 0 = 48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48b' to each side of the equation. 0 + -48b = 48b + -48b Remove the zero: -48b = 48b + -48b Combine like terms: 48b + -48b = 0 -48b = 0 Divide each side by '-48'. b = 0 Simplifying b = 0
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