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Simplifying -7(4b + 5) = -16 + -8b Reorder the terms: -7(5 + 4b) = -16 + -8b (5 * -7 + 4b * -7) = -16 + -8b (-35 + -28b) = -16 + -8b Solving -35 + -28b = -16 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -35 + -28b + 8b = -16 + -8b + 8b Combine like terms: -28b + 8b = -20b -35 + -20b = -16 + -8b + 8b Combine like terms: -8b + 8b = 0 -35 + -20b = -16 + 0 -35 + -20b = -16 Add '35' to each side of the equation. -35 + 35 + -20b = -16 + 35 Combine like terms: -35 + 35 = 0 0 + -20b = -16 + 35 -20b = -16 + 35 Combine like terms: -16 + 35 = 19 -20b = 19 Divide each side by '-20'. b = -0.95 Simplifying b = -0.95
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