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Simplifying (15b + -3) + -7(2b + 4) = -2 Reorder the terms: (-3 + 15b) + -7(2b + 4) = -2 Remove parenthesis around (-3 + 15b) -3 + 15b + -7(2b + 4) = -2 Reorder the terms: -3 + 15b + -7(4 + 2b) = -2 -3 + 15b + (4 * -7 + 2b * -7) = -2 -3 + 15b + (-28 + -14b) = -2 Reorder the terms: -3 + -28 + 15b + -14b = -2 Combine like terms: -3 + -28 = -31 -31 + 15b + -14b = -2 Combine like terms: 15b + -14b = 1b -31 + 1b = -2 Solving -31 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = -2 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = -2 + 31 1b = -2 + 31 Combine like terms: -2 + 31 = 29 1b = 29 Divide each side by '1'. b = 29 Simplifying b = 29
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