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Simplifying 8(-5b + 8) = -30 + 7b Reorder the terms: 8(8 + -5b) = -30 + 7b (8 * 8 + -5b * 8) = -30 + 7b (64 + -40b) = -30 + 7b Solving 64 + -40b = -30 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 64 + -40b + -7b = -30 + 7b + -7b Combine like terms: -40b + -7b = -47b 64 + -47b = -30 + 7b + -7b Combine like terms: 7b + -7b = 0 64 + -47b = -30 + 0 64 + -47b = -30 Add '-64' to each side of the equation. 64 + -64 + -47b = -30 + -64 Combine like terms: 64 + -64 = 0 0 + -47b = -30 + -64 -47b = -30 + -64 Combine like terms: -30 + -64 = -94 -47b = -94 Divide each side by '-47'. b = 2 Simplifying b = 2
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