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Simplifying (15b + -4) + -7(2b + 3) = -6 Reorder the terms: (-4 + 15b) + -7(2b + 3) = -6 Remove parenthesis around (-4 + 15b) -4 + 15b + -7(2b + 3) = -6 Reorder the terms: -4 + 15b + -7(3 + 2b) = -6 -4 + 15b + (3 * -7 + 2b * -7) = -6 -4 + 15b + (-21 + -14b) = -6 Reorder the terms: -4 + -21 + 15b + -14b = -6 Combine like terms: -4 + -21 = -25 -25 + 15b + -14b = -6 Combine like terms: 15b + -14b = 1b -25 + 1b = -6 Solving -25 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1b = -6 + 25 Combine like terms: -25 + 25 = 0 0 + 1b = -6 + 25 1b = -6 + 25 Combine like terms: -6 + 25 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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