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Simplifying 2(-4 + -8b) = 3(1 + -6b) + 5 (-4 * 2 + -8b * 2) = 3(1 + -6b) + 5 (-8 + -16b) = 3(1 + -6b) + 5 -8 + -16b = (1 * 3 + -6b * 3) + 5 -8 + -16b = (3 + -18b) + 5 Reorder the terms: -8 + -16b = 3 + 5 + -18b Combine like terms: 3 + 5 = 8 -8 + -16b = 8 + -18b Solving -8 + -16b = 8 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. -8 + -16b + 18b = 8 + -18b + 18b Combine like terms: -16b + 18b = 2b -8 + 2b = 8 + -18b + 18b Combine like terms: -18b + 18b = 0 -8 + 2b = 8 + 0 -8 + 2b = 8 Add '8' to each side of the equation. -8 + 8 + 2b = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2b = 8 + 8 2b = 8 + 8 Combine like terms: 8 + 8 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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