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Simplifying 6(b + 5) = 2(6b + -2) Reorder the terms: 6(5 + b) = 2(6b + -2) (5 * 6 + b * 6) = 2(6b + -2) (30 + 6b) = 2(6b + -2) Reorder the terms: 30 + 6b = 2(-2 + 6b) 30 + 6b = (-2 * 2 + 6b * 2) 30 + 6b = (-4 + 12b) Solving 30 + 6b = -4 + 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 + 6b + -12b = -4 + 12b + -12b Combine like terms: 6b + -12b = -6b 30 + -6b = -4 + 12b + -12b Combine like terms: 12b + -12b = 0 30 + -6b = -4 + 0 30 + -6b = -4 Add '-30' to each side of the equation. 30 + -30 + -6b = -4 + -30 Combine like terms: 30 + -30 = 0 0 + -6b = -4 + -30 -6b = -4 + -30 Combine like terms: -4 + -30 = -34 -6b = -34 Divide each side by '-6'. b = 5.666666667 Simplifying b = 5.666666667
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