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Simplifying -3(-5b + -4) = -3 + 6(b + -5) Reorder the terms: -3(-4 + -5b) = -3 + 6(b + -5) (-4 * -3 + -5b * -3) = -3 + 6(b + -5) (12 + 15b) = -3 + 6(b + -5) Reorder the terms: 12 + 15b = -3 + 6(-5 + b) 12 + 15b = -3 + (-5 * 6 + b * 6) 12 + 15b = -3 + (-30 + 6b) Combine like terms: -3 + -30 = -33 12 + 15b = -33 + 6b Solving 12 + 15b = -33 + 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. 12 + 15b + -6b = -33 + 6b + -6b Combine like terms: 15b + -6b = 9b 12 + 9b = -33 + 6b + -6b Combine like terms: 6b + -6b = 0 12 + 9b = -33 + 0 12 + 9b = -33 Add '-12' to each side of the equation. 12 + -12 + 9b = -33 + -12 Combine like terms: 12 + -12 = 0 0 + 9b = -33 + -12 9b = -33 + -12 Combine like terms: -33 + -12 = -45 9b = -45 Divide each side by '9'. b = -5 Simplifying b = -5
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