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Simplifying -28 = -7(1 + -8b) + -5(4b + -3) -28 = (1 * -7 + -8b * -7) + -5(4b + -3) -28 = (-7 + 56b) + -5(4b + -3) Reorder the terms: -28 = -7 + 56b + -5(-3 + 4b) -28 = -7 + 56b + (-3 * -5 + 4b * -5) -28 = -7 + 56b + (15 + -20b) Reorder the terms: -28 = -7 + 15 + 56b + -20b Combine like terms: -7 + 15 = 8 -28 = 8 + 56b + -20b Combine like terms: 56b + -20b = 36b -28 = 8 + 36b Solving -28 = 8 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -28 + -36b = 8 + 36b + -36b Combine like terms: 36b + -36b = 0 -28 + -36b = 8 + 0 -28 + -36b = 8 Add '28' to each side of the equation. -28 + 28 + -36b = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -36b = 8 + 28 -36b = 8 + 28 Combine like terms: 8 + 28 = 36 -36b = 36 Divide each side by '-36'. b = -1 Simplifying b = -1
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