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Simplifying 7(b + 8) + -4(6b + -4) = 0 Reorder the terms: 7(8 + b) + -4(6b + -4) = 0 (8 * 7 + b * 7) + -4(6b + -4) = 0 (56 + 7b) + -4(6b + -4) = 0 Reorder the terms: 56 + 7b + -4(-4 + 6b) = 0 56 + 7b + (-4 * -4 + 6b * -4) = 0 56 + 7b + (16 + -24b) = 0 Reorder the terms: 56 + 16 + 7b + -24b = 0 Combine like terms: 56 + 16 = 72 72 + 7b + -24b = 0 Combine like terms: 7b + -24b = -17b 72 + -17b = 0 Solving 72 + -17b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -17b = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -17b = 0 + -72 -17b = 0 + -72 Combine like terms: 0 + -72 = -72 -17b = -72 Divide each side by '-17'. b = 4.235294118 Simplifying b = 4.235294118
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