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Simplifying (15b + -8) + -7(2b + 2) = -6 Reorder the terms: (-8 + 15b) + -7(2b + 2) = -6 Remove parenthesis around (-8 + 15b) -8 + 15b + -7(2b + 2) = -6 Reorder the terms: -8 + 15b + -7(2 + 2b) = -6 -8 + 15b + (2 * -7 + 2b * -7) = -6 -8 + 15b + (-14 + -14b) = -6 Reorder the terms: -8 + -14 + 15b + -14b = -6 Combine like terms: -8 + -14 = -22 -22 + 15b + -14b = -6 Combine like terms: 15b + -14b = 1b -22 + 1b = -6 Solving -22 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1b = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = -6 + 22 1b = -6 + 22 Combine like terms: -6 + 22 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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