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Simplifying -6b + -27 = -7(b + 3) Reorder the terms: -27 + -6b = -7(b + 3) Reorder the terms: -27 + -6b = -7(3 + b) -27 + -6b = (3 * -7 + b * -7) -27 + -6b = (-21 + -7b) Solving -27 + -6b = -21 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -27 + -6b + 7b = -21 + -7b + 7b Combine like terms: -6b + 7b = 1b -27 + 1b = -21 + -7b + 7b Combine like terms: -7b + 7b = 0 -27 + 1b = -21 + 0 -27 + 1b = -21 Add '27' to each side of the equation. -27 + 27 + 1b = -21 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = -21 + 27 1b = -21 + 27 Combine like terms: -21 + 27 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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