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Simplifying 4 = 7(-7) + b Multiply 7 * -7 4 = -49 + b Solving 4 = -49 + 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. 4 + -1b = -49 + b + -1b Combine like terms: b + -1b = 0 4 + -1b = -49 + 0 4 + -1b = -49 Add '-4' to each side of the equation. 4 + -4 + -1b = -49 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -49 + -4 -1b = -49 + -4 Combine like terms: -49 + -4 = -53 -1b = -53 Divide each side by '-1'. b = 53 Simplifying b = 53
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