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Simplifying 8(2b + -3) = (-2 + 5b) + 1 Reorder the terms: 8(-3 + 2b) = (-2 + 5b) + 1 (-3 * 8 + 2b * 8) = (-2 + 5b) + 1 (-24 + 16b) = (-2 + 5b) + 1 Remove parenthesis around (-2 + 5b) -24 + 16b = -2 + 5b + 1 Reorder the terms: -24 + 16b = -2 + 1 + 5b Combine like terms: -2 + 1 = -1 -24 + 16b = -1 + 5b Solving -24 + 16b = -1 + 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. -24 + 16b + -5b = -1 + 5b + -5b Combine like terms: 16b + -5b = 11b -24 + 11b = -1 + 5b + -5b Combine like terms: 5b + -5b = 0 -24 + 11b = -1 + 0 -24 + 11b = -1 Add '24' to each side of the equation. -24 + 24 + 11b = -1 + 24 Combine like terms: -24 + 24 = 0 0 + 11b = -1 + 24 11b = -1 + 24 Combine like terms: -1 + 24 = 23 11b = 23 Divide each side by '11'. b = 2.090909091 Simplifying b = 2.090909091
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