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Simplifying -1r + 22 = 5(5r + 5) + -3 Reorder the terms: 22 + -1r = 5(5r + 5) + -3 Reorder the terms: 22 + -1r = 5(5 + 5r) + -3 22 + -1r = (5 * 5 + 5r * 5) + -3 22 + -1r = (25 + 25r) + -3 Reorder the terms: 22 + -1r = 25 + -3 + 25r Combine like terms: 25 + -3 = 22 22 + -1r = 22 + 25r Add '-22' to each side of the equation. 22 + -22 + -1r = 22 + -22 + 25r Combine like terms: 22 + -22 = 0 0 + -1r = 22 + -22 + 25r -1r = 22 + -22 + 25r Combine like terms: 22 + -22 = 0 -1r = 0 + 25r -1r = 25r Solving -1r = 25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25r' to each side of the equation. -1r + -25r = 25r + -25r Combine like terms: -1r + -25r = -26r -26r = 25r + -25r Combine like terms: 25r + -25r = 0 -26r = 0 Divide each side by '-26'. r = 0 Simplifying r = 0
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