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Simplifying 21 + -3(b + -7) = b + 20 Reorder the terms: 21 + -3(-7 + b) = b + 20 21 + (-7 * -3 + b * -3) = b + 20 21 + (21 + -3b) = b + 20 Combine like terms: 21 + 21 = 42 42 + -3b = b + 20 Reorder the terms: 42 + -3b = 20 + b Solving 42 + -3b = 20 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 42 + -3b + -1b = 20 + b + -1b Combine like terms: -3b + -1b = -4b 42 + -4b = 20 + b + -1b Combine like terms: b + -1b = 0 42 + -4b = 20 + 0 42 + -4b = 20 Add '-42' to each side of the equation. 42 + -42 + -4b = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -4b = 20 + -42 -4b = 20 + -42 Combine like terms: 20 + -42 = -22 -4b = -22 Divide each side by '-4'. b = 5.5 Simplifying b = 5.5
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