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Simplifying 25 + 6r = 7 + -6(r + -1) Reorder the terms: 25 + 6r = 7 + -6(-1 + r) 25 + 6r = 7 + (-1 * -6 + r * -6) 25 + 6r = 7 + (6 + -6r) Combine like terms: 7 + 6 = 13 25 + 6r = 13 + -6r Solving 25 + 6r = 13 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 25 + 6r + 6r = 13 + -6r + 6r Combine like terms: 6r + 6r = 12r 25 + 12r = 13 + -6r + 6r Combine like terms: -6r + 6r = 0 25 + 12r = 13 + 0 25 + 12r = 13 Add '-25' to each side of the equation. 25 + -25 + 12r = 13 + -25 Combine like terms: 25 + -25 = 0 0 + 12r = 13 + -25 12r = 13 + -25 Combine like terms: 13 + -25 = -12 12r = -12 Divide each side by '12'. r = -1 Simplifying r = -1
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