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Simplifying -8b + 38 = -6(3 + 6b) Reorder the terms: 38 + -8b = -6(3 + 6b) 38 + -8b = (3 * -6 + 6b * -6) 38 + -8b = (-18 + -36b) Solving 38 + -8b = -18 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. 38 + -8b + 36b = -18 + -36b + 36b Combine like terms: -8b + 36b = 28b 38 + 28b = -18 + -36b + 36b Combine like terms: -36b + 36b = 0 38 + 28b = -18 + 0 38 + 28b = -18 Add '-38' to each side of the equation. 38 + -38 + 28b = -18 + -38 Combine like terms: 38 + -38 = 0 0 + 28b = -18 + -38 28b = -18 + -38 Combine like terms: -18 + -38 = -56 28b = -56 Divide each side by '28'. b = -2 Simplifying b = -2
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