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Simplifying 3(6b + -7) = 6b + 27 Reorder the terms: 3(-7 + 6b) = 6b + 27 (-7 * 3 + 6b * 3) = 6b + 27 (-21 + 18b) = 6b + 27 Reorder the terms: -21 + 18b = 27 + 6b Solving -21 + 18b = 27 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -21 + 18b + -6b = 27 + 6b + -6b Combine like terms: 18b + -6b = 12b -21 + 12b = 27 + 6b + -6b Combine like terms: 6b + -6b = 0 -21 + 12b = 27 + 0 -21 + 12b = 27 Add '21' to each side of the equation. -21 + 21 + 12b = 27 + 21 Combine like terms: -21 + 21 = 0 0 + 12b = 27 + 21 12b = 27 + 21 Combine like terms: 27 + 21 = 48 12b = 48 Divide each side by '12'. b = 4 Simplifying b = 4
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