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Simplifying 38 + -5b = -2(4b + 2) + -3b Reorder the terms: 38 + -5b = -2(2 + 4b) + -3b 38 + -5b = (2 * -2 + 4b * -2) + -3b 38 + -5b = (-4 + -8b) + -3b Combine like terms: -8b + -3b = -11b 38 + -5b = -4 + -11b Solving 38 + -5b = -4 + -11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11b' to each side of the equation. 38 + -5b + 11b = -4 + -11b + 11b Combine like terms: -5b + 11b = 6b 38 + 6b = -4 + -11b + 11b Combine like terms: -11b + 11b = 0 38 + 6b = -4 + 0 38 + 6b = -4 Add '-38' to each side of the equation. 38 + -38 + 6b = -4 + -38 Combine like terms: 38 + -38 = 0 0 + 6b = -4 + -38 6b = -4 + -38 Combine like terms: -4 + -38 = -42 6b = -42 Divide each side by '6'. b = -7 Simplifying b = -7
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