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Simplifying 19 + -7 + -9(2b + 3) = -6 Reorder the terms: 19 + -7 + -9(3 + 2b) = -6 19 + -7 + (3 * -9 + 2b * -9) = -6 19 + -7 + (-27 + -18b) = -6 Combine like terms: 19 + -7 = 12 12 + -27 + -18b = -6 Combine like terms: 12 + -27 = -15 -15 + -18b = -6 Solving -15 + -18b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -18b = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -18b = -6 + 15 -18b = -6 + 15 Combine like terms: -6 + 15 = 9 -18b = 9 Divide each side by '-18'. b = -0.5 Simplifying b = -0.5
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