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