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Simplifying 4b + 30 = -8(8 + -6b) + 3b Reorder the terms: 30 + 4b = -8(8 + -6b) + 3b 30 + 4b = (8 * -8 + -6b * -8) + 3b 30 + 4b = (-64 + 48b) + 3b Combine like terms: 48b + 3b = 51b 30 + 4b = -64 + 51b Solving 30 + 4b = -64 + 51b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-51b' to each side of the equation. 30 + 4b + -51b = -64 + 51b + -51b Combine like terms: 4b + -51b = -47b 30 + -47b = -64 + 51b + -51b Combine like terms: 51b + -51b = 0 30 + -47b = -64 + 0 30 + -47b = -64 Add '-30' to each side of the equation. 30 + -30 + -47b = -64 + -30 Combine like terms: 30 + -30 = 0 0 + -47b = -64 + -30 -47b = -64 + -30 Combine like terms: -64 + -30 = -94 -47b = -94 Divide each side by '-47'. b = 2 Simplifying b = 2
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