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Simplifying 7(b + -3) = 3b + 2 Reorder the terms: 7(-3 + b) = 3b + 2 (-3 * 7 + b * 7) = 3b + 2 (-21 + 7b) = 3b + 2 Reorder the terms: -21 + 7b = 2 + 3b Solving -21 + 7b = 2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -21 + 7b + -3b = 2 + 3b + -3b Combine like terms: 7b + -3b = 4b -21 + 4b = 2 + 3b + -3b Combine like terms: 3b + -3b = 0 -21 + 4b = 2 + 0 -21 + 4b = 2 Add '21' to each side of the equation. -21 + 21 + 4b = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 4b = 2 + 21 4b = 2 + 21 Combine like terms: 2 + 21 = 23 4b = 23 Divide each side by '4'. b = 5.75 Simplifying b = 5.75
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