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Simplifying 5(2b + -6) = 4(b + 3) Reorder the terms: 5(-6 + 2b) = 4(b + 3) (-6 * 5 + 2b * 5) = 4(b + 3) (-30 + 10b) = 4(b + 3) Reorder the terms: -30 + 10b = 4(3 + b) -30 + 10b = (3 * 4 + b * 4) -30 + 10b = (12 + 4b) Solving -30 + 10b = 12 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -30 + 10b + -4b = 12 + 4b + -4b Combine like terms: 10b + -4b = 6b -30 + 6b = 12 + 4b + -4b Combine like terms: 4b + -4b = 0 -30 + 6b = 12 + 0 -30 + 6b = 12 Add '30' to each side of the equation. -30 + 30 + 6b = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 6b = 12 + 30 6b = 12 + 30 Combine like terms: 12 + 30 = 42 6b = 42 Divide each side by '6'. b = 7 Simplifying b = 7
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