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Simplifying 7 = (25)(175) + b Multiply 25 * 175 7 = 4375 + b Solving 7 = 4375 + 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. 7 + -1b = 4375 + b + -1b Combine like terms: b + -1b = 0 7 + -1b = 4375 + 0 7 + -1b = 4375 Add '-7' to each side of the equation. 7 + -7 + -1b = 4375 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 4375 + -7 -1b = 4375 + -7 Combine like terms: 4375 + -7 = 4368 -1b = 4368 Divide each side by '-1'. b = -4368 Simplifying b = -4368
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