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Simplifying 12b + -38 = b + 28 Reorder the terms: -38 + 12b = b + 28 Reorder the terms: -38 + 12b = 28 + b Solving -38 + 12b = 28 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -38 + 12b + -1b = 28 + b + -1b Combine like terms: 12b + -1b = 11b -38 + 11b = 28 + b + -1b Combine like terms: b + -1b = 0 -38 + 11b = 28 + 0 -38 + 11b = 28 Add '38' to each side of the equation. -38 + 38 + 11b = 28 + 38 Combine like terms: -38 + 38 = 0 0 + 11b = 28 + 38 11b = 28 + 38 Combine like terms: 28 + 38 = 66 11b = 66 Divide each side by '11'. b = 6 Simplifying b = 6
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