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Simplifying (15b + -2) + -7(2b + 3) = -4 Reorder the terms: (-2 + 15b) + -7(2b + 3) = -4 Remove parenthesis around (-2 + 15b) -2 + 15b + -7(2b + 3) = -4 Reorder the terms: -2 + 15b + -7(3 + 2b) = -4 -2 + 15b + (3 * -7 + 2b * -7) = -4 -2 + 15b + (-21 + -14b) = -4 Reorder the terms: -2 + -21 + 15b + -14b = -4 Combine like terms: -2 + -21 = -23 -23 + 15b + -14b = -4 Combine like terms: 15b + -14b = 1b -23 + 1b = -4 Solving -23 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = -4 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = -4 + 23 1b = -4 + 23 Combine like terms: -4 + 23 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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