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Simplifying 6(3b + 5) = (6b + -21) Reorder the terms: 6(5 + 3b) = (6b + -21) (5 * 6 + 3b * 6) = (6b + -21) (30 + 18b) = (6b + -21) Reorder the terms: 30 + 18b = (-21 + 6b) Remove parenthesis around (-21 + 6b) 30 + 18b = -21 + 6b Solving 30 + 18b = -21 + 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. 30 + 18b + -6b = -21 + 6b + -6b Combine like terms: 18b + -6b = 12b 30 + 12b = -21 + 6b + -6b Combine like terms: 6b + -6b = 0 30 + 12b = -21 + 0 30 + 12b = -21 Add '-30' to each side of the equation. 30 + -30 + 12b = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 12b = -21 + -30 12b = -21 + -30 Combine like terms: -21 + -30 = -51 12b = -51 Divide each side by '12'. b = -4.25 Simplifying b = -4.25
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