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Simplifying -5(2b + -20) = -16 + 3(2b + -20) Reorder the terms: -5(-20 + 2b) = -16 + 3(2b + -20) (-20 * -5 + 2b * -5) = -16 + 3(2b + -20) (100 + -10b) = -16 + 3(2b + -20) Reorder the terms: 100 + -10b = -16 + 3(-20 + 2b) 100 + -10b = -16 + (-20 * 3 + 2b * 3) 100 + -10b = -16 + (-60 + 6b) Combine like terms: -16 + -60 = -76 100 + -10b = -76 + 6b Solving 100 + -10b = -76 + 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. 100 + -10b + -6b = -76 + 6b + -6b Combine like terms: -10b + -6b = -16b 100 + -16b = -76 + 6b + -6b Combine like terms: 6b + -6b = 0 100 + -16b = -76 + 0 100 + -16b = -76 Add '-100' to each side of the equation. 100 + -100 + -16b = -76 + -100 Combine like terms: 100 + -100 = 0 0 + -16b = -76 + -100 -16b = -76 + -100 Combine like terms: -76 + -100 = -176 -16b = -176 Divide each side by '-16'. b = 11 Simplifying b = 11
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