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Simplifying 5b + -2(b + 5) = 6(b + -5) + 5(b + -4) Reorder the terms: 5b + -2(5 + b) = 6(b + -5) + 5(b + -4) 5b + (5 * -2 + b * -2) = 6(b + -5) + 5(b + -4) 5b + (-10 + -2b) = 6(b + -5) + 5(b + -4) Reorder the terms: -10 + 5b + -2b = 6(b + -5) + 5(b + -4) Combine like terms: 5b + -2b = 3b -10 + 3b = 6(b + -5) + 5(b + -4) Reorder the terms: -10 + 3b = 6(-5 + b) + 5(b + -4) -10 + 3b = (-5 * 6 + b * 6) + 5(b + -4) -10 + 3b = (-30 + 6b) + 5(b + -4) Reorder the terms: -10 + 3b = -30 + 6b + 5(-4 + b) -10 + 3b = -30 + 6b + (-4 * 5 + b * 5) -10 + 3b = -30 + 6b + (-20 + 5b) Reorder the terms: -10 + 3b = -30 + -20 + 6b + 5b Combine like terms: -30 + -20 = -50 -10 + 3b = -50 + 6b + 5b Combine like terms: 6b + 5b = 11b -10 + 3b = -50 + 11b Solving -10 + 3b = -50 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. -10 + 3b + -11b = -50 + 11b + -11b Combine like terms: 3b + -11b = -8b -10 + -8b = -50 + 11b + -11b Combine like terms: 11b + -11b = 0 -10 + -8b = -50 + 0 -10 + -8b = -50 Add '10' to each side of the equation. -10 + 10 + -8b = -50 + 10 Combine like terms: -10 + 10 = 0 0 + -8b = -50 + 10 -8b = -50 + 10 Combine like terms: -50 + 10 = -40 -8b = -40 Divide each side by '-8'. b = 5 Simplifying b = 5
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