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Simplifying 8(5b + -6) = -16 + 8b Reorder the terms: 8(-6 + 5b) = -16 + 8b (-6 * 8 + 5b * 8) = -16 + 8b (-48 + 40b) = -16 + 8b Solving -48 + 40b = -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. -48 + 40b + -8b = -16 + 8b + -8b Combine like terms: 40b + -8b = 32b -48 + 32b = -16 + 8b + -8b Combine like terms: 8b + -8b = 0 -48 + 32b = -16 + 0 -48 + 32b = -16 Add '48' to each side of the equation. -48 + 48 + 32b = -16 + 48 Combine like terms: -48 + 48 = 0 0 + 32b = -16 + 48 32b = -16 + 48 Combine like terms: -16 + 48 = 32 32b = 32 Divide each side by '32'. b = 1 Simplifying b = 1
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