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Simplifying -2(4b + 1) + -6b = -100 Reorder the terms: -2(1 + 4b) + -6b = -100 (1 * -2 + 4b * -2) + -6b = -100 (-2 + -8b) + -6b = -100 Combine like terms: -8b + -6b = -14b -2 + -14b = -100 Solving -2 + -14b = -100 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -14b = -100 + 2 Combine like terms: -2 + 2 = 0 0 + -14b = -100 + 2 -14b = -100 + 2 Combine like terms: -100 + 2 = -98 -14b = -98 Divide each side by '-14'. b = 7 Simplifying b = 7
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