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Simplifying -23 + 6b = -5(-8 + 3b) -23 + 6b = (-8 * -5 + 3b * -5) -23 + 6b = (40 + -15b) Solving -23 + 6b = 40 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -23 + 6b + 15b = 40 + -15b + 15b Combine like terms: 6b + 15b = 21b -23 + 21b = 40 + -15b + 15b Combine like terms: -15b + 15b = 0 -23 + 21b = 40 + 0 -23 + 21b = 40 Add '23' to each side of the equation. -23 + 23 + 21b = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 21b = 40 + 23 21b = 40 + 23 Combine like terms: 40 + 23 = 63 21b = 63 Divide each side by '21'. b = 3 Simplifying b = 3
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