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Simplifying 25 + -7r = -3 + 7(r + -4) Reorder the terms: 25 + -7r = -3 + 7(-4 + r) 25 + -7r = -3 + (-4 * 7 + r * 7) 25 + -7r = -3 + (-28 + 7r) Combine like terms: -3 + -28 = -31 25 + -7r = -31 + 7r Solving 25 + -7r = -31 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 25 + -7r + -7r = -31 + 7r + -7r Combine like terms: -7r + -7r = -14r 25 + -14r = -31 + 7r + -7r Combine like terms: 7r + -7r = 0 25 + -14r = -31 + 0 25 + -14r = -31 Add '-25' to each side of the equation. 25 + -25 + -14r = -31 + -25 Combine like terms: 25 + -25 = 0 0 + -14r = -31 + -25 -14r = -31 + -25 Combine like terms: -31 + -25 = -56 -14r = -56 Divide each side by '-14'. r = 4 Simplifying r = 4
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