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Simplifying -6(-7b + 3) + 4 = -2b + 30 Reorder the terms: -6(3 + -7b) + 4 = -2b + 30 (3 * -6 + -7b * -6) + 4 = -2b + 30 (-18 + 42b) + 4 = -2b + 30 Reorder the terms: -18 + 4 + 42b = -2b + 30 Combine like terms: -18 + 4 = -14 -14 + 42b = -2b + 30 Reorder the terms: -14 + 42b = 30 + -2b Solving -14 + 42b = 30 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -14 + 42b + 2b = 30 + -2b + 2b Combine like terms: 42b + 2b = 44b -14 + 44b = 30 + -2b + 2b Combine like terms: -2b + 2b = 0 -14 + 44b = 30 + 0 -14 + 44b = 30 Add '14' to each side of the equation. -14 + 14 + 44b = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 44b = 30 + 14 44b = 30 + 14 Combine like terms: 30 + 14 = 44 44b = 44 Divide each side by '44'. b = 1 Simplifying b = 1
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