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Simplifying 14 = 16(b + 12) Reorder the terms: 14 = 16(12 + b) 14 = (12 * 16 + b * 16) 14 = (192 + 16b) Solving 14 = 192 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 14 + -16b = 192 + 16b + -16b Combine like terms: 16b + -16b = 0 14 + -16b = 192 + 0 14 + -16b = 192 Add '-14' to each side of the equation. 14 + -14 + -16b = 192 + -14 Combine like terms: 14 + -14 = 0 0 + -16b = 192 + -14 -16b = 192 + -14 Combine like terms: 192 + -14 = 178 -16b = 178 Divide each side by '-16'. b = -11.125 Simplifying b = -11.125
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