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Simplifying -4(4 + 4b) = -7b + 38 (4 * -4 + 4b * -4) = -7b + 38 (-16 + -16b) = -7b + 38 Reorder the terms: -16 + -16b = 38 + -7b Solving -16 + -16b = 38 + -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. -16 + -16b + 7b = 38 + -7b + 7b Combine like terms: -16b + 7b = -9b -16 + -9b = 38 + -7b + 7b Combine like terms: -7b + 7b = 0 -16 + -9b = 38 + 0 -16 + -9b = 38 Add '16' to each side of the equation. -16 + 16 + -9b = 38 + 16 Combine like terms: -16 + 16 = 0 0 + -9b = 38 + 16 -9b = 38 + 16 Combine like terms: 38 + 16 = 54 -9b = 54 Divide each side by '-9'. b = -6 Simplifying b = -6
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