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Simplifying 5(2 + -4b) + 6 = 6(5 + -1b) + -1(4b + -6k) (2 * 5 + -4b * 5) + 6 = 6(5 + -1b) + -1(4b + -6k) (10 + -20b) + 6 = 6(5 + -1b) + -1(4b + -6k) Reorder the terms: 10 + 6 + -20b = 6(5 + -1b) + -1(4b + -6k) Combine like terms: 10 + 6 = 16 16 + -20b = 6(5 + -1b) + -1(4b + -6k) 16 + -20b = (5 * 6 + -1b * 6) + -1(4b + -6k) 16 + -20b = (30 + -6b) + -1(4b + -6k) 16 + -20b = 30 + -6b + (4b * -1 + -6k * -1) 16 + -20b = 30 + -6b + (-4b + 6k) Combine like terms: -6b + -4b = -10b 16 + -20b = 30 + -10b + 6k Solving 16 + -20b = 30 + -10b + 6k Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 16 + -20b + 10b = 30 + -10b + 10b + 6k Combine like terms: -20b + 10b = -10b 16 + -10b = 30 + -10b + 10b + 6k Combine like terms: -10b + 10b = 0 16 + -10b = 30 + 0 + 6k 16 + -10b = 30 + 6k Add '-16' to each side of the equation. 16 + -16 + -10b = 30 + -16 + 6k Combine like terms: 16 + -16 = 0 0 + -10b = 30 + -16 + 6k -10b = 30 + -16 + 6k Combine like terms: 30 + -16 = 14 -10b = 14 + 6k Divide each side by '-10'. b = -1.4 + -0.6k Simplifying b = -1.4 + -0.6k
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