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Simplifying 2(b + -7) + -2(3 + -1b) = -48 Reorder the terms: 2(-7 + b) + -2(3 + -1b) = -48 (-7 * 2 + b * 2) + -2(3 + -1b) = -48 (-14 + 2b) + -2(3 + -1b) = -48 -14 + 2b + (3 * -2 + -1b * -2) = -48 -14 + 2b + (-6 + 2b) = -48 Reorder the terms: -14 + -6 + 2b + 2b = -48 Combine like terms: -14 + -6 = -20 -20 + 2b + 2b = -48 Combine like terms: 2b + 2b = 4b -20 + 4b = -48 Solving -20 + 4b = -48 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 4b = -48 + 20 Combine like terms: -20 + 20 = 0 0 + 4b = -48 + 20 4b = -48 + 20 Combine like terms: -48 + 20 = -28 4b = -28 Divide each side by '4'. b = -7 Simplifying b = -7
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