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Simplifying -18 + -8b = 6(-4b + 7) + 4b Reorder the terms: -18 + -8b = 6(7 + -4b) + 4b -18 + -8b = (7 * 6 + -4b * 6) + 4b -18 + -8b = (42 + -24b) + 4b Combine like terms: -24b + 4b = -20b -18 + -8b = 42 + -20b Solving -18 + -8b = 42 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. -18 + -8b + 20b = 42 + -20b + 20b Combine like terms: -8b + 20b = 12b -18 + 12b = 42 + -20b + 20b Combine like terms: -20b + 20b = 0 -18 + 12b = 42 + 0 -18 + 12b = 42 Add '18' to each side of the equation. -18 + 18 + 12b = 42 + 18 Combine like terms: -18 + 18 = 0 0 + 12b = 42 + 18 12b = 42 + 18 Combine like terms: 42 + 18 = 60 12b = 60 Divide each side by '12'. b = 5 Simplifying b = 5
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