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Simplifying 5b + -78 = 2b + -30 Reorder the terms: -78 + 5b = 2b + -30 Reorder the terms: -78 + 5b = -30 + 2b Solving -78 + 5b = -30 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -78 + 5b + -2b = -30 + 2b + -2b Combine like terms: 5b + -2b = 3b -78 + 3b = -30 + 2b + -2b Combine like terms: 2b + -2b = 0 -78 + 3b = -30 + 0 -78 + 3b = -30 Add '78' to each side of the equation. -78 + 78 + 3b = -30 + 78 Combine like terms: -78 + 78 = 0 0 + 3b = -30 + 78 3b = -30 + 78 Combine like terms: -30 + 78 = 48 3b = 48 Divide each side by '3'. b = 16 Simplifying b = 16
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