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Simplifying 3b + -28 = -4 + 5(6 + 6b) Reorder the terms: -28 + 3b = -4 + 5(6 + 6b) -28 + 3b = -4 + (6 * 5 + 6b * 5) -28 + 3b = -4 + (30 + 30b) Combine like terms: -4 + 30 = 26 -28 + 3b = 26 + 30b Solving -28 + 3b = 26 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. -28 + 3b + -30b = 26 + 30b + -30b Combine like terms: 3b + -30b = -27b -28 + -27b = 26 + 30b + -30b Combine like terms: 30b + -30b = 0 -28 + -27b = 26 + 0 -28 + -27b = 26 Add '28' to each side of the equation. -28 + 28 + -27b = 26 + 28 Combine like terms: -28 + 28 = 0 0 + -27b = 26 + 28 -27b = 26 + 28 Combine like terms: 26 + 28 = 54 -27b = 54 Divide each side by '-27'. b = -2 Simplifying b = -2
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