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Simplifying -8(7 + 3b) + 4 = 38 + -6b (7 * -8 + 3b * -8) + 4 = 38 + -6b (-56 + -24b) + 4 = 38 + -6b Reorder the terms: -56 + 4 + -24b = 38 + -6b Combine like terms: -56 + 4 = -52 -52 + -24b = 38 + -6b Solving -52 + -24b = 38 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -52 + -24b + 6b = 38 + -6b + 6b Combine like terms: -24b + 6b = -18b -52 + -18b = 38 + -6b + 6b Combine like terms: -6b + 6b = 0 -52 + -18b = 38 + 0 -52 + -18b = 38 Add '52' to each side of the equation. -52 + 52 + -18b = 38 + 52 Combine like terms: -52 + 52 = 0 0 + -18b = 38 + 52 -18b = 38 + 52 Combine like terms: 38 + 52 = 90 -18b = 90 Divide each side by '-18'. b = -5 Simplifying b = -5
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