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Simplifying 44 = -4(1 + 6b) + -6(-5b + -1) 44 = (1 * -4 + 6b * -4) + -6(-5b + -1) 44 = (-4 + -24b) + -6(-5b + -1) Reorder the terms: 44 = -4 + -24b + -6(-1 + -5b) 44 = -4 + -24b + (-1 * -6 + -5b * -6) 44 = -4 + -24b + (6 + 30b) Reorder the terms: 44 = -4 + 6 + -24b + 30b Combine like terms: -4 + 6 = 2 44 = 2 + -24b + 30b Combine like terms: -24b + 30b = 6b 44 = 2 + 6b Solving 44 = 2 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 44 + -6b = 2 + 6b + -6b Combine like terms: 6b + -6b = 0 44 + -6b = 2 + 0 44 + -6b = 2 Add '-44' to each side of the equation. 44 + -44 + -6b = 2 + -44 Combine like terms: 44 + -44 = 0 0 + -6b = 2 + -44 -6b = 2 + -44 Combine like terms: 2 + -44 = -42 -6b = -42 Divide each side by '-6'. b = 7 Simplifying b = 7
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