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Simplifying -21 + 2b = -7(7b + -5) + -5 Reorder the terms: -21 + 2b = -7(-5 + 7b) + -5 -21 + 2b = (-5 * -7 + 7b * -7) + -5 -21 + 2b = (35 + -49b) + -5 Reorder the terms: -21 + 2b = 35 + -5 + -49b Combine like terms: 35 + -5 = 30 -21 + 2b = 30 + -49b Solving -21 + 2b = 30 + -49b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '49b' to each side of the equation. -21 + 2b + 49b = 30 + -49b + 49b Combine like terms: 2b + 49b = 51b -21 + 51b = 30 + -49b + 49b Combine like terms: -49b + 49b = 0 -21 + 51b = 30 + 0 -21 + 51b = 30 Add '21' to each side of the equation. -21 + 21 + 51b = 30 + 21 Combine like terms: -21 + 21 = 0 0 + 51b = 30 + 21 51b = 30 + 21 Combine like terms: 30 + 21 = 51 51b = 51 Divide each side by '51'. b = 1 Simplifying b = 1
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