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Simplifying -3(5b + 2) + 7(b + -3) = -19 Reorder the terms: -3(2 + 5b) + 7(b + -3) = -19 (2 * -3 + 5b * -3) + 7(b + -3) = -19 (-6 + -15b) + 7(b + -3) = -19 Reorder the terms: -6 + -15b + 7(-3 + b) = -19 -6 + -15b + (-3 * 7 + b * 7) = -19 -6 + -15b + (-21 + 7b) = -19 Reorder the terms: -6 + -21 + -15b + 7b = -19 Combine like terms: -6 + -21 = -27 -27 + -15b + 7b = -19 Combine like terms: -15b + 7b = -8b -27 + -8b = -19 Solving -27 + -8b = -19 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -8b = -19 + 27 Combine like terms: -27 + 27 = 0 0 + -8b = -19 + 27 -8b = -19 + 27 Combine like terms: -19 + 27 = 8 -8b = 8 Divide each side by '-8'. b = -1 Simplifying b = -1
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