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Simplifying 3(b + -7) = 2(3b + 7) Reorder the terms: 3(-7 + b) = 2(3b + 7) (-7 * 3 + b * 3) = 2(3b + 7) (-21 + 3b) = 2(3b + 7) Reorder the terms: -21 + 3b = 2(7 + 3b) -21 + 3b = (7 * 2 + 3b * 2) -21 + 3b = (14 + 6b) Solving -21 + 3b = 14 + 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 + 3b + -6b = 14 + 6b + -6b Combine like terms: 3b + -6b = -3b -21 + -3b = 14 + 6b + -6b Combine like terms: 6b + -6b = 0 -21 + -3b = 14 + 0 -21 + -3b = 14 Add '21' to each side of the equation. -21 + 21 + -3b = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -3b = 14 + 21 -3b = 14 + 21 Combine like terms: 14 + 21 = 35 -3b = 35 Divide each side by '-3'. b = -11.66666667 Simplifying b = -11.66666667
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