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Simplifying (15b + -5) + -7(2b + 4) = -2 Reorder the terms: (-5 + 15b) + -7(2b + 4) = -2 Remove parenthesis around (-5 + 15b) -5 + 15b + -7(2b + 4) = -2 Reorder the terms: -5 + 15b + -7(4 + 2b) = -2 -5 + 15b + (4 * -7 + 2b * -7) = -2 -5 + 15b + (-28 + -14b) = -2 Reorder the terms: -5 + -28 + 15b + -14b = -2 Combine like terms: -5 + -28 = -33 -33 + 15b + -14b = -2 Combine like terms: 15b + -14b = 1b -33 + 1b = -2 Solving -33 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1b = -2 + 33 Combine like terms: -33 + 33 = 0 0 + 1b = -2 + 33 1b = -2 + 33 Combine like terms: -2 + 33 = 31 1b = 31 Divide each side by '1'. b = 31 Simplifying b = 31
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