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Simplifying -7(2b + 1) + (15b + -8) = 0 Reorder the terms: -7(1 + 2b) + (15b + -8) = 0 (1 * -7 + 2b * -7) + (15b + -8) = 0 (-7 + -14b) + (15b + -8) = 0 Reorder the terms: -7 + -14b + (-8 + 15b) = 0 Remove parenthesis around (-8 + 15b) -7 + -14b + -8 + 15b = 0 Reorder the terms: -7 + -8 + -14b + 15b = 0 Combine like terms: -7 + -8 = -15 -15 + -14b + 15b = 0 Combine like terms: -14b + 15b = 1b -15 + 1b = 0 Solving -15 + 1b = 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 + 1b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = 0 + 15 1b = 0 + 15 Combine like terms: 0 + 15 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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