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Simplifying -8(8b + 6) + 1 = -5b + 2 Reorder the terms: -8(6 + 8b) + 1 = -5b + 2 (6 * -8 + 8b * -8) + 1 = -5b + 2 (-48 + -64b) + 1 = -5b + 2 Reorder the terms: -48 + 1 + -64b = -5b + 2 Combine like terms: -48 + 1 = -47 -47 + -64b = -5b + 2 Reorder the terms: -47 + -64b = 2 + -5b Solving -47 + -64b = 2 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -47 + -64b + 5b = 2 + -5b + 5b Combine like terms: -64b + 5b = -59b -47 + -59b = 2 + -5b + 5b Combine like terms: -5b + 5b = 0 -47 + -59b = 2 + 0 -47 + -59b = 2 Add '47' to each side of the equation. -47 + 47 + -59b = 2 + 47 Combine like terms: -47 + 47 = 0 0 + -59b = 2 + 47 -59b = 2 + 47 Combine like terms: 2 + 47 = 49 -59b = 49 Divide each side by '-59'. b = -0.8305084746 Simplifying b = -0.8305084746
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