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Simplifying 8d + 12 + -1b = 8 + 7b + 4 Reorder the terms: 12 + -1b + 8d = 8 + 7b + 4 Reorder the terms: 12 + -1b + 8d = 8 + 4 + 7b Combine like terms: 8 + 4 = 12 12 + -1b + 8d = 12 + 7b Add '-12' to each side of the equation. 12 + -1b + -12 + 8d = 12 + -12 + 7b Reorder the terms: 12 + -12 + -1b + 8d = 12 + -12 + 7b Combine like terms: 12 + -12 = 0 0 + -1b + 8d = 12 + -12 + 7b -1b + 8d = 12 + -12 + 7b Combine like terms: 12 + -12 = 0 -1b + 8d = 0 + 7b -1b + 8d = 7b Solving -1b + 8d = 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -1b + -7b + 8d = 7b + -7b Combine like terms: -1b + -7b = -8b -8b + 8d = 7b + -7b Combine like terms: 7b + -7b = 0 -8b + 8d = 0 Add '-8d' to each side of the equation. -8b + 8d + -8d = 0 + -8d Combine like terms: 8d + -8d = 0 -8b + 0 = 0 + -8d -8b = 0 + -8d Remove the zero: -8b = -8d Divide each side by '-8'. b = d Simplifying b = d
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