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Simplifying 38 + 7b = -6(-4b + 5) Reorder the terms: 38 + 7b = -6(5 + -4b) 38 + 7b = (5 * -6 + -4b * -6) 38 + 7b = (-30 + 24b) Solving 38 + 7b = -30 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 38 + 7b + -24b = -30 + 24b + -24b Combine like terms: 7b + -24b = -17b 38 + -17b = -30 + 24b + -24b Combine like terms: 24b + -24b = 0 38 + -17b = -30 + 0 38 + -17b = -30 Add '-38' to each side of the equation. 38 + -38 + -17b = -30 + -38 Combine like terms: 38 + -38 = 0 0 + -17b = -30 + -38 -17b = -30 + -38 Combine like terms: -30 + -38 = -68 -17b = -68 Divide each side by '-17'. b = 4 Simplifying b = 4
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