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Simplifying -5 + -4(1 + 5b) = 30 + -7b -5 + (1 * -4 + 5b * -4) = 30 + -7b -5 + (-4 + -20b) = 30 + -7b Combine like terms: -5 + -4 = -9 -9 + -20b = 30 + -7b Solving -9 + -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. -9 + -20b + 7b = 30 + -7b + 7b Combine like terms: -20b + 7b = -13b -9 + -13b = 30 + -7b + 7b Combine like terms: -7b + 7b = 0 -9 + -13b = 30 + 0 -9 + -13b = 30 Add '9' to each side of the equation. -9 + 9 + -13b = 30 + 9 Combine like terms: -9 + 9 = 0 0 + -13b = 30 + 9 -13b = 30 + 9 Combine like terms: 30 + 9 = 39 -13b = 39 Divide each side by '-13'. b = -3 Simplifying b = -3
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