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Simplifying -5(b + -1) + -7(8b + -4) = -28 Reorder the terms: -5(-1 + b) + -7(8b + -4) = -28 (-1 * -5 + b * -5) + -7(8b + -4) = -28 (5 + -5b) + -7(8b + -4) = -28 Reorder the terms: 5 + -5b + -7(-4 + 8b) = -28 5 + -5b + (-4 * -7 + 8b * -7) = -28 5 + -5b + (28 + -56b) = -28 Reorder the terms: 5 + 28 + -5b + -56b = -28 Combine like terms: 5 + 28 = 33 33 + -5b + -56b = -28 Combine like terms: -5b + -56b = -61b 33 + -61b = -28 Solving 33 + -61b = -28 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -61b = -28 + -33 Combine like terms: 33 + -33 = 0 0 + -61b = -28 + -33 -61b = -28 + -33 Combine like terms: -28 + -33 = -61 -61b = -61 Divide each side by '-61'. b = 1 Simplifying b = 1
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