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Simplifying -35 + -7b = 5(-4b + -3) + -7 Reorder the terms: -35 + -7b = 5(-3 + -4b) + -7 -35 + -7b = (-3 * 5 + -4b * 5) + -7 -35 + -7b = (-15 + -20b) + -7 Reorder the terms: -35 + -7b = -15 + -7 + -20b Combine like terms: -15 + -7 = -22 -35 + -7b = -22 + -20b Solving -35 + -7b = -22 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. -35 + -7b + 20b = -22 + -20b + 20b Combine like terms: -7b + 20b = 13b -35 + 13b = -22 + -20b + 20b Combine like terms: -20b + 20b = 0 -35 + 13b = -22 + 0 -35 + 13b = -22 Add '35' to each side of the equation. -35 + 35 + 13b = -22 + 35 Combine like terms: -35 + 35 = 0 0 + 13b = -22 + 35 13b = -22 + 35 Combine like terms: -22 + 35 = 13 13b = 13 Divide each side by '13'. b = 1 Simplifying b = 1
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