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Simplifying 3(-4b + 5) = -27 + -6b Reorder the terms: 3(5 + -4b) = -27 + -6b (5 * 3 + -4b * 3) = -27 + -6b (15 + -12b) = -27 + -6b Solving 15 + -12b = -27 + -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. 15 + -12b + 6b = -27 + -6b + 6b Combine like terms: -12b + 6b = -6b 15 + -6b = -27 + -6b + 6b Combine like terms: -6b + 6b = 0 15 + -6b = -27 + 0 15 + -6b = -27 Add '-15' to each side of the equation. 15 + -15 + -6b = -27 + -15 Combine like terms: 15 + -15 = 0 0 + -6b = -27 + -15 -6b = -27 + -15 Combine like terms: -27 + -15 = -42 -6b = -42 Divide each side by '-6'. b = 7 Simplifying b = 7
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