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Simplifying 5(b + -6) + -1(3 + -3b) = 0 Reorder the terms: 5(-6 + b) + -1(3 + -3b) = 0 (-6 * 5 + b * 5) + -1(3 + -3b) = 0 (-30 + 5b) + -1(3 + -3b) = 0 -30 + 5b + (3 * -1 + -3b * -1) = 0 -30 + 5b + (-3 + 3b) = 0 Reorder the terms: -30 + -3 + 5b + 3b = 0 Combine like terms: -30 + -3 = -33 -33 + 5b + 3b = 0 Combine like terms: 5b + 3b = 8b -33 + 8b = 0 Solving -33 + 8b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 8b = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 8b = 0 + 33 8b = 0 + 33 Combine like terms: 0 + 33 = 33 8b = 33 Divide each side by '8'. b = 4.125 Simplifying b = 4.125
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