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Simplifying -21 + 7b = 4(2b + -4) Reorder the terms: -21 + 7b = 4(-4 + 2b) -21 + 7b = (-4 * 4 + 2b * 4) -21 + 7b = (-16 + 8b) Solving -21 + 7b = -16 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -21 + 7b + -8b = -16 + 8b + -8b Combine like terms: 7b + -8b = -1b -21 + -1b = -16 + 8b + -8b Combine like terms: 8b + -8b = 0 -21 + -1b = -16 + 0 -21 + -1b = -16 Add '21' to each side of the equation. -21 + 21 + -1b = -16 + 21 Combine like terms: -21 + 21 = 0 0 + -1b = -16 + 21 -1b = -16 + 21 Combine like terms: -16 + 21 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5
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