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Simplifying 8(b + -7) + -7(4b + 2) = -50 Reorder the terms: 8(-7 + b) + -7(4b + 2) = -50 (-7 * 8 + b * 8) + -7(4b + 2) = -50 (-56 + 8b) + -7(4b + 2) = -50 Reorder the terms: -56 + 8b + -7(2 + 4b) = -50 -56 + 8b + (2 * -7 + 4b * -7) = -50 -56 + 8b + (-14 + -28b) = -50 Reorder the terms: -56 + -14 + 8b + -28b = -50 Combine like terms: -56 + -14 = -70 -70 + 8b + -28b = -50 Combine like terms: 8b + -28b = -20b -70 + -20b = -50 Solving -70 + -20b = -50 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -20b = -50 + 70 Combine like terms: -70 + 70 = 0 0 + -20b = -50 + 70 -20b = -50 + 70 Combine like terms: -50 + 70 = 20 -20b = 20 Divide each side by '-20'. b = -1 Simplifying b = -1
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