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Simplifying 5(b + -6) + -1(b + -4) = 0 Reorder the terms: 5(-6 + b) + -1(b + -4) = 0 (-6 * 5 + b * 5) + -1(b + -4) = 0 (-30 + 5b) + -1(b + -4) = 0 Reorder the terms: -30 + 5b + -1(-4 + b) = 0 -30 + 5b + (-4 * -1 + b * -1) = 0 -30 + 5b + (4 + -1b) = 0 Reorder the terms: -30 + 4 + 5b + -1b = 0 Combine like terms: -30 + 4 = -26 -26 + 5b + -1b = 0 Combine like terms: 5b + -1b = 4b -26 + 4b = 0 Solving -26 + 4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 4b = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 4b = 0 + 26 4b = 0 + 26 Combine like terms: 0 + 26 = 26 4b = 26 Divide each side by '4'. b = 6.5 Simplifying b = 6.5
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