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Simplifying -3b + 3(-5b + -3) = 30 + -5b Reorder the terms: -3b + 3(-3 + -5b) = 30 + -5b -3b + (-3 * 3 + -5b * 3) = 30 + -5b -3b + (-9 + -15b) = 30 + -5b Reorder the terms: -9 + -3b + -15b = 30 + -5b Combine like terms: -3b + -15b = -18b -9 + -18b = 30 + -5b Solving -9 + -18b = 30 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -9 + -18b + 5b = 30 + -5b + 5b Combine like terms: -18b + 5b = -13b -9 + -13b = 30 + -5b + 5b Combine like terms: -5b + 5b = 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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