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Simplifying -21 = -7(-5 + -1b) -21 = (-5 * -7 + -1b * -7) -21 = (35 + 7b) Solving -21 = 35 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -21 + -7b = 35 + 7b + -7b Combine like terms: 7b + -7b = 0 -21 + -7b = 35 + 0 -21 + -7b = 35 Add '21' to each side of the equation. -21 + 21 + -7b = 35 + 21 Combine like terms: -21 + 21 = 0 0 + -7b = 35 + 21 -7b = 35 + 21 Combine like terms: 35 + 21 = 56 -7b = 56 Divide each side by '-7'. b = -8 Simplifying b = -8
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