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Simplifying 4b + -3(b + -7) = 3 + 2b Reorder the terms: 4b + -3(-7 + b) = 3 + 2b 4b + (-7 * -3 + b * -3) = 3 + 2b 4b + (21 + -3b) = 3 + 2b Reorder the terms: 21 + 4b + -3b = 3 + 2b Combine like terms: 4b + -3b = 1b 21 + 1b = 3 + 2b Solving 21 + 1b = 3 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 21 + 1b + -2b = 3 + 2b + -2b Combine like terms: 1b + -2b = -1b 21 + -1b = 3 + 2b + -2b Combine like terms: 2b + -2b = 0 21 + -1b = 3 + 0 21 + -1b = 3 Add '-21' to each side of the equation. 21 + -21 + -1b = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -1b = 3 + -21 -1b = 3 + -21 Combine like terms: 3 + -21 = -18 -1b = -18 Divide each side by '-1'. b = 18 Simplifying b = 18
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