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Simplifying (8 + -1b)(-3) + 6b + 12 + -10b = 0 Reorder the terms for easier multiplication: -3(8 + -1b) + 6b + 12 + -10b = 0 (8 * -3 + -1b * -3) + 6b + 12 + -10b = 0 (-24 + 3b) + 6b + 12 + -10b = 0 Reorder the terms: -24 + 12 + 3b + 6b + -10b = 0 Combine like terms: -24 + 12 = -12 -12 + 3b + 6b + -10b = 0 Combine like terms: 3b + 6b = 9b -12 + 9b + -10b = 0 Combine like terms: 9b + -10b = -1b -12 + -1b = 0 Solving -12 + -1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1b = 0 + 12 -1b = 0 + 12 Combine like terms: 0 + 12 = 12 -1b = 12 Divide each side by '-1'. b = -12 Simplifying b = -12
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