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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) Reorder the terms: 30 + 18b = 2(-21 + 6b) 30 + 18b = (-21 * 2 + 6b * 2) 30 + 18b = (-42 + 12b) Solving 30 + 18b = -42 + 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 = -42 + 12b + -12b Combine like terms: 18b + -12b = 6b 30 + 6b = -42 + 12b + -12b Combine like terms: 12b + -12b = 0 30 + 6b = -42 + 0 30 + 6b = -42 Add '-30' to each side of the equation. 30 + -30 + 6b = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 6b = -42 + -30 6b = -42 + -30 Combine like terms: -42 + -30 = -72 6b = -72 Divide each side by '6'. b = -12 Simplifying b = -12
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