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Simplifying -4(4 + -6b) + -6(2 + 4b) = b + 2 + 5b (4 * -4 + -6b * -4) + -6(2 + 4b) = b + 2 + 5b (-16 + 24b) + -6(2 + 4b) = b + 2 + 5b -16 + 24b + (2 * -6 + 4b * -6) = b + 2 + 5b -16 + 24b + (-12 + -24b) = b + 2 + 5b Reorder the terms: -16 + -12 + 24b + -24b = b + 2 + 5b Combine like terms: -16 + -12 = -28 -28 + 24b + -24b = b + 2 + 5b Combine like terms: 24b + -24b = 0 -28 + 0 = b + 2 + 5b -28 = b + 2 + 5b Reorder the terms: -28 = 2 + b + 5b Combine like terms: b + 5b = 6b -28 = 2 + 6b Solving -28 = 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. -28 + -6b = 2 + 6b + -6b Combine like terms: 6b + -6b = 0 -28 + -6b = 2 + 0 -28 + -6b = 2 Add '28' to each side of the equation. -28 + 28 + -6b = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -6b = 2 + 28 -6b = 2 + 28 Combine like terms: 2 + 28 = 30 -6b = 30 Divide each side by '-6'. b = -5 Simplifying b = -5
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