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Simplifying 30 + -7b = (16 + 8b) * 4 Reorder the terms for easier multiplication: 30 + -7b = 4(16 + 8b) 30 + -7b = (16 * 4 + 8b * 4) 30 + -7b = (64 + 32b) Solving 30 + -7b = 64 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 30 + -7b + -32b = 64 + 32b + -32b Combine like terms: -7b + -32b = -39b 30 + -39b = 64 + 32b + -32b Combine like terms: 32b + -32b = 0 30 + -39b = 64 + 0 30 + -39b = 64 Add '-30' to each side of the equation. 30 + -30 + -39b = 64 + -30 Combine like terms: 30 + -30 = 0 0 + -39b = 64 + -30 -39b = 64 + -30 Combine like terms: 64 + -30 = 34 -39b = 34 Divide each side by '-39'. b = -0.8717948718 Simplifying b = -0.8717948718
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