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Simplifying -8(6b + 8) + 10 = -9(6b + 4) Reorder the terms: -8(8 + 6b) + 10 = -9(6b + 4) (8 * -8 + 6b * -8) + 10 = -9(6b + 4) (-64 + -48b) + 10 = -9(6b + 4) Reorder the terms: -64 + 10 + -48b = -9(6b + 4) Combine like terms: -64 + 10 = -54 -54 + -48b = -9(6b + 4) Reorder the terms: -54 + -48b = -9(4 + 6b) -54 + -48b = (4 * -9 + 6b * -9) -54 + -48b = (-36 + -54b) Solving -54 + -48b = -36 + -54b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '54b' to each side of the equation. -54 + -48b + 54b = -36 + -54b + 54b Combine like terms: -48b + 54b = 6b -54 + 6b = -36 + -54b + 54b Combine like terms: -54b + 54b = 0 -54 + 6b = -36 + 0 -54 + 6b = -36 Add '54' to each side of the equation. -54 + 54 + 6b = -36 + 54 Combine like terms: -54 + 54 = 0 0 + 6b = -36 + 54 6b = -36 + 54 Combine like terms: -36 + 54 = 18 6b = 18 Divide each side by '6'. b = 3 Simplifying b = 3
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