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Simplifying 45 = 8(b + -3) + 5 Reorder the terms: 45 = 8(-3 + b) + 5 45 = (-3 * 8 + b * 8) + 5 45 = (-24 + 8b) + 5 Reorder the terms: 45 = -24 + 5 + 8b Combine like terms: -24 + 5 = -19 45 = -19 + 8b Solving 45 = -19 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 45 + -8b = -19 + 8b + -8b Combine like terms: 8b + -8b = 0 45 + -8b = -19 + 0 45 + -8b = -19 Add '-45' to each side of the equation. 45 + -45 + -8b = -19 + -45 Combine like terms: 45 + -45 = 0 0 + -8b = -19 + -45 -8b = -19 + -45 Combine like terms: -19 + -45 = -64 -8b = -64 Divide each side by '-8'. b = 8 Simplifying b = 8
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