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Simplifying 5(-8b + -4) = 2(-18b + 8) Reorder the terms: 5(-4 + -8b) = 2(-18b + 8) (-4 * 5 + -8b * 5) = 2(-18b + 8) (-20 + -40b) = 2(-18b + 8) Reorder the terms: -20 + -40b = 2(8 + -18b) -20 + -40b = (8 * 2 + -18b * 2) -20 + -40b = (16 + -36b) Solving -20 + -40b = 16 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. -20 + -40b + 36b = 16 + -36b + 36b Combine like terms: -40b + 36b = -4b -20 + -4b = 16 + -36b + 36b Combine like terms: -36b + 36b = 0 -20 + -4b = 16 + 0 -20 + -4b = 16 Add '20' to each side of the equation. -20 + 20 + -4b = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -4b = 16 + 20 -4b = 16 + 20 Combine like terms: 16 + 20 = 36 -4b = 36 Divide each side by '-4'. b = -9 Simplifying b = -9
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