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Simplifying 7(b + -1) + -1(8 + -1b) = 0 Reorder the terms: 7(-1 + b) + -1(8 + -1b) = 0 (-1 * 7 + b * 7) + -1(8 + -1b) = 0 (-7 + 7b) + -1(8 + -1b) = 0 -7 + 7b + (8 * -1 + -1b * -1) = 0 -7 + 7b + (-8 + 1b) = 0 Reorder the terms: -7 + -8 + 7b + 1b = 0 Combine like terms: -7 + -8 = -15 -15 + 7b + 1b = 0 Combine like terms: 7b + 1b = 8b -15 + 8b = 0 Solving -15 + 8b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8b = 0 + 15 8b = 0 + 15 Combine like terms: 0 + 15 = 15 8b = 15 Divide each side by '8'. b = 1.875 Simplifying b = 1.875
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