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Simplifying (19b + -3) + -6(3b + 3) = -7 Reorder the terms: (-3 + 19b) + -6(3b + 3) = -7 Remove parenthesis around (-3 + 19b) -3 + 19b + -6(3b + 3) = -7 Reorder the terms: -3 + 19b + -6(3 + 3b) = -7 -3 + 19b + (3 * -6 + 3b * -6) = -7 -3 + 19b + (-18 + -18b) = -7 Reorder the terms: -3 + -18 + 19b + -18b = -7 Combine like terms: -3 + -18 = -21 -21 + 19b + -18b = -7 Combine like terms: 19b + -18b = 1b -21 + 1b = -7 Solving -21 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -7 + 21 1b = -7 + 21 Combine like terms: -7 + 21 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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