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Simplifying 3(4b + -7) = 2(3b + 11) Reorder the terms: 3(-7 + 4b) = 2(3b + 11) (-7 * 3 + 4b * 3) = 2(3b + 11) (-21 + 12b) = 2(3b + 11) Reorder the terms: -21 + 12b = 2(11 + 3b) -21 + 12b = (11 * 2 + 3b * 2) -21 + 12b = (22 + 6b) Solving -21 + 12b = 22 + 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 + 12b + -6b = 22 + 6b + -6b Combine like terms: 12b + -6b = 6b -21 + 6b = 22 + 6b + -6b Combine like terms: 6b + -6b = 0 -21 + 6b = 22 + 0 -21 + 6b = 22 Add '21' to each side of the equation. -21 + 21 + 6b = 22 + 21 Combine like terms: -21 + 21 = 0 0 + 6b = 22 + 21 6b = 22 + 21 Combine like terms: 22 + 21 = 43 6b = 43 Divide each side by '6'. b = 7.166666667 Simplifying b = 7.166666667
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