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Simplifying 6(3b + 5) = 2(6b) + -21 Reorder the terms: 6(5 + 3b) = 2(6b) + -21 (5 * 6 + 3b * 6) = 2(6b) + -21 (30 + 18b) = 2(6b) + -21 Remove parenthesis around (6b) 30 + 18b = 2 * 6b + -21 Multiply 2 * 6 30 + 18b = 12b + -21 Reorder the terms: 30 + 18b = -21 + 12b Solving 30 + 18b = -21 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 30 + 18b + -12b = -21 + 12b + -12b Combine like terms: 18b + -12b = 6b 30 + 6b = -21 + 12b + -12b Combine like terms: 12b + -12b = 0 30 + 6b = -21 + 0 30 + 6b = -21 Add '-30' to each side of the equation. 30 + -30 + 6b = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 6b = -21 + -30 6b = -21 + -30 Combine like terms: -21 + -30 = -51 6b = -51 Divide each side by '6'. b = -8.5 Simplifying b = -8.5
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