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Simplifying 5(2b + -6) + -1(b + 6) + b = 0 Reorder the terms: 5(-6 + 2b) + -1(b + 6) + b = 0 (-6 * 5 + 2b * 5) + -1(b + 6) + b = 0 (-30 + 10b) + -1(b + 6) + b = 0 Reorder the terms: -30 + 10b + -1(6 + b) + b = 0 -30 + 10b + (6 * -1 + b * -1) + b = 0 -30 + 10b + (-6 + -1b) + b = 0 Reorder the terms: -30 + -6 + 10b + -1b + b = 0 Combine like terms: -30 + -6 = -36 -36 + 10b + -1b + b = 0 Combine like terms: 10b + -1b = 9b -36 + 9b + b = 0 Combine like terms: 9b + b = 10b -36 + 10b = 0 Solving -36 + 10b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 10b = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 10b = 0 + 36 10b = 0 + 36 Combine like terms: 0 + 36 = 36 10b = 36 Divide each side by '10'. b = 3.6 Simplifying b = 3.6
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