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Simplifying 21 + -6b = -3 + -6(8b + -4) Reorder the terms: 21 + -6b = -3 + -6(-4 + 8b) 21 + -6b = -3 + (-4 * -6 + 8b * -6) 21 + -6b = -3 + (24 + -48b) Combine like terms: -3 + 24 = 21 21 + -6b = 21 + -48b Add '-21' to each side of the equation. 21 + -21 + -6b = 21 + -21 + -48b Combine like terms: 21 + -21 = 0 0 + -6b = 21 + -21 + -48b -6b = 21 + -21 + -48b Combine like terms: 21 + -21 = 0 -6b = 0 + -48b -6b = -48b Solving -6b = -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. -6b + 48b = -48b + 48b Combine like terms: -6b + 48b = 42b 42b = -48b + 48b Combine like terms: -48b + 48b = 0 42b = 0 Divide each side by '42'. b = 0 Simplifying b = 0
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