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Simplifying -3(4 + -5b) = 6b + 51 (4 * -3 + -5b * -3) = 6b + 51 (-12 + 15b) = 6b + 51 Reorder the terms: -12 + 15b = 51 + 6b Solving -12 + 15b = 51 + 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 = 51 + 6b + -6b Combine like terms: 15b + -6b = 9b -12 + 9b = 51 + 6b + -6b Combine like terms: 6b + -6b = 0 -12 + 9b = 51 + 0 -12 + 9b = 51 Add '12' to each side of the equation. -12 + 12 + 9b = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9b = 51 + 12 9b = 51 + 12 Combine like terms: 51 + 12 = 63 9b = 63 Divide each side by '9'. b = 7 Simplifying b = 7
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