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Simplifying 874 = 16(b + 17) + 26 Reorder the terms: 874 = 16(17 + b) + 26 874 = (17 * 16 + b * 16) + 26 874 = (272 + 16b) + 26 Reorder the terms: 874 = 272 + 26 + 16b Combine like terms: 272 + 26 = 298 874 = 298 + 16b Solving 874 = 298 + 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. 874 + -16b = 298 + 16b + -16b Combine like terms: 16b + -16b = 0 874 + -16b = 298 + 0 874 + -16b = 298 Add '-874' to each side of the equation. 874 + -874 + -16b = 298 + -874 Combine like terms: 874 + -874 = 0 0 + -16b = 298 + -874 -16b = 298 + -874 Combine like terms: 298 + -874 = -576 -16b = -576 Divide each side by '-16'. b = 36 Simplifying b = 36
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