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Simplifying -5(3b + 4) + -6(3 + 6b) = 0 Reorder the terms: -5(4 + 3b) + -6(3 + 6b) = 0 (4 * -5 + 3b * -5) + -6(3 + 6b) = 0 (-20 + -15b) + -6(3 + 6b) = 0 -20 + -15b + (3 * -6 + 6b * -6) = 0 -20 + -15b + (-18 + -36b) = 0 Reorder the terms: -20 + -18 + -15b + -36b = 0 Combine like terms: -20 + -18 = -38 -38 + -15b + -36b = 0 Combine like terms: -15b + -36b = -51b -38 + -51b = 0 Solving -38 + -51b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -51b = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -51b = 0 + 38 -51b = 0 + 38 Combine like terms: 0 + 38 = 38 -51b = 38 Divide each side by '-51'. b = -0.7450980392 Simplifying b = -0.7450980392
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