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Simplifying 5b + -3(b + -7) = 2 + 3b Reorder the terms: 5b + -3(-7 + b) = 2 + 3b 5b + (-7 * -3 + b * -3) = 2 + 3b 5b + (21 + -3b) = 2 + 3b Reorder the terms: 21 + 5b + -3b = 2 + 3b Combine like terms: 5b + -3b = 2b 21 + 2b = 2 + 3b Solving 21 + 2b = 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 + 2b + -3b = 2 + 3b + -3b Combine like terms: 2b + -3b = -1b 21 + -1b = 2 + 3b + -3b Combine like terms: 3b + -3b = 0 21 + -1b = 2 + 0 21 + -1b = 2 Add '-21' to each side of the equation. 21 + -21 + -1b = 2 + -21 Combine like terms: 21 + -21 = 0 0 + -1b = 2 + -21 -1b = 2 + -21 Combine like terms: 2 + -21 = -19 -1b = -19 Divide each side by '-1'. b = 19 Simplifying b = 19
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