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Simplifying -120 = 3b + 3(5b + -10) Reorder the terms: -120 = 3b + 3(-10 + 5b) -120 = 3b + (-10 * 3 + 5b * 3) -120 = 3b + (-30 + 15b) Reorder the terms: -120 = -30 + 3b + 15b Combine like terms: 3b + 15b = 18b -120 = -30 + 18b Solving -120 = -30 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -120 + -18b = -30 + 18b + -18b Combine like terms: 18b + -18b = 0 -120 + -18b = -30 + 0 -120 + -18b = -30 Add '120' to each side of the equation. -120 + 120 + -18b = -30 + 120 Combine like terms: -120 + 120 = 0 0 + -18b = -30 + 120 -18b = -30 + 120 Combine like terms: -30 + 120 = 90 -18b = 90 Divide each side by '-18'. b = -5 Simplifying b = -5
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