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Simplifying -5(15b + 10) + 16(-7 + -11b) = -162 Reorder the terms: -5(10 + 15b) + 16(-7 + -11b) = -162 (10 * -5 + 15b * -5) + 16(-7 + -11b) = -162 (-50 + -75b) + 16(-7 + -11b) = -162 -50 + -75b + (-7 * 16 + -11b * 16) = -162 -50 + -75b + (-112 + -176b) = -162 Reorder the terms: -50 + -112 + -75b + -176b = -162 Combine like terms: -50 + -112 = -162 -162 + -75b + -176b = -162 Combine like terms: -75b + -176b = -251b -162 + -251b = -162 Add '162' to each side of the equation. -162 + 162 + -251b = -162 + 162 Combine like terms: -162 + 162 = 0 0 + -251b = -162 + 162 -251b = -162 + 162 Combine like terms: -162 + 162 = 0 -251b = 0 Solving -251b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-251'. b = 0 Simplifying b = 0
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