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Simplifying -21 + 7b = -1 + -2(1 + -2b) -21 + 7b = -1 + (1 * -2 + -2b * -2) -21 + 7b = -1 + (-2 + 4b) Combine like terms: -1 + -2 = -3 -21 + 7b = -3 + 4b Solving -21 + 7b = -3 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -21 + 7b + -4b = -3 + 4b + -4b Combine like terms: 7b + -4b = 3b -21 + 3b = -3 + 4b + -4b Combine like terms: 4b + -4b = 0 -21 + 3b = -3 + 0 -21 + 3b = -3 Add '21' to each side of the equation. -21 + 21 + 3b = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 3b = -3 + 21 3b = -3 + 21 Combine like terms: -3 + 21 = 18 3b = 18 Divide each side by '3'. b = 6 Simplifying b = 6
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