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Simplifying 6(-4 + -1b) + 3(5 + -3b) = 0 (-4 * 6 + -1b * 6) + 3(5 + -3b) = 0 (-24 + -6b) + 3(5 + -3b) = 0 -24 + -6b + (5 * 3 + -3b * 3) = 0 -24 + -6b + (15 + -9b) = 0 Reorder the terms: -24 + 15 + -6b + -9b = 0 Combine like terms: -24 + 15 = -9 -9 + -6b + -9b = 0 Combine like terms: -6b + -9b = -15b -9 + -15b = 0 Solving -9 + -15b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -15b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -15b = 0 + 9 -15b = 0 + 9 Combine like terms: 0 + 9 = 9 -15b = 9 Divide each side by '-15'. b = -0.6 Simplifying b = -0.6
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