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Simplifying -5(6b + 8) = 8(1 + -3b) Reorder the terms: -5(8 + 6b) = 8(1 + -3b) (8 * -5 + 6b * -5) = 8(1 + -3b) (-40 + -30b) = 8(1 + -3b) -40 + -30b = (1 * 8 + -3b * 8) -40 + -30b = (8 + -24b) Solving -40 + -30b = 8 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. -40 + -30b + 24b = 8 + -24b + 24b Combine like terms: -30b + 24b = -6b -40 + -6b = 8 + -24b + 24b Combine like terms: -24b + 24b = 0 -40 + -6b = 8 + 0 -40 + -6b = 8 Add '40' to each side of the equation. -40 + 40 + -6b = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -6b = 8 + 40 -6b = 8 + 40 Combine like terms: 8 + 40 = 48 -6b = 48 Divide each side by '-6'. b = -8 Simplifying b = -8
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