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Simplifying x + 6(b + 8) = 8 Reorder the terms: x + 6(8 + b) = 8 x + (8 * 6 + b * 6) = 8 x + (48 + 6b) = 8 Reorder the terms: 48 + 6b + x = 8 Solving 48 + 6b + x = 8 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 6b + -48 + x = 8 + -48 Reorder the terms: 48 + -48 + 6b + x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 6b + x = 8 + -48 6b + x = 8 + -48 Combine like terms: 8 + -48 = -40 6b + x = -40 Add '-1x' to each side of the equation. 6b + x + -1x = -40 + -1x Combine like terms: x + -1x = 0 6b + 0 = -40 + -1x 6b = -40 + -1x Divide each side by '6'. b = -6.666666667 + -0.1666666667x Simplifying b = -6.666666667 + -0.1666666667x
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