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Simplifying 5(-9b + 3) + -4(8b + 6) = 0 Reorder the terms: 5(3 + -9b) + -4(8b + 6) = 0 (3 * 5 + -9b * 5) + -4(8b + 6) = 0 (15 + -45b) + -4(8b + 6) = 0 Reorder the terms: 15 + -45b + -4(6 + 8b) = 0 15 + -45b + (6 * -4 + 8b * -4) = 0 15 + -45b + (-24 + -32b) = 0 Reorder the terms: 15 + -24 + -45b + -32b = 0 Combine like terms: 15 + -24 = -9 -9 + -45b + -32b = 0 Combine like terms: -45b + -32b = -77b -9 + -77b = 0 Solving -9 + -77b = 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 + -77b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -77b = 0 + 9 -77b = 0 + 9 Combine like terms: 0 + 9 = 9 -77b = 9 Divide each side by '-77'. b = -0.1168831169 Simplifying b = -0.1168831169
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