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Simplifying 5(-4b + -7) = -7b + 30 Reorder the terms: 5(-7 + -4b) = -7b + 30 (-7 * 5 + -4b * 5) = -7b + 30 (-35 + -20b) = -7b + 30 Reorder the terms: -35 + -20b = 30 + -7b Solving -35 + -20b = 30 + -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. -35 + -20b + 7b = 30 + -7b + 7b Combine like terms: -20b + 7b = -13b -35 + -13b = 30 + -7b + 7b Combine like terms: -7b + 7b = 0 -35 + -13b = 30 + 0 -35 + -13b = 30 Add '35' to each side of the equation. -35 + 35 + -13b = 30 + 35 Combine like terms: -35 + 35 = 0 0 + -13b = 30 + 35 -13b = 30 + 35 Combine like terms: 30 + 35 = 65 -13b = 65 Divide each side by '-13'. b = -5 Simplifying b = -5
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