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Simplifying -6b + -21 = -3(3b + -5) + -6b Reorder the terms: -21 + -6b = -3(3b + -5) + -6b Reorder the terms: -21 + -6b = -3(-5 + 3b) + -6b -21 + -6b = (-5 * -3 + 3b * -3) + -6b -21 + -6b = (15 + -9b) + -6b Combine like terms: -9b + -6b = -15b -21 + -6b = 15 + -15b Solving -21 + -6b = 15 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -21 + -6b + 15b = 15 + -15b + 15b Combine like terms: -6b + 15b = 9b -21 + 9b = 15 + -15b + 15b Combine like terms: -15b + 15b = 0 -21 + 9b = 15 + 0 -21 + 9b = 15 Add '21' to each side of the equation. -21 + 21 + 9b = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 9b = 15 + 21 9b = 15 + 21 Combine like terms: 15 + 21 = 36 9b = 36 Divide each side by '9'. b = 4 Simplifying b = 4
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