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Simplifying -22 + 5r = 4(8 + 8r) -22 + 5r = (8 * 4 + 8r * 4) -22 + 5r = (32 + 32r) Solving -22 + 5r = 32 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. -22 + 5r + -32r = 32 + 32r + -32r Combine like terms: 5r + -32r = -27r -22 + -27r = 32 + 32r + -32r Combine like terms: 32r + -32r = 0 -22 + -27r = 32 + 0 -22 + -27r = 32 Add '22' to each side of the equation. -22 + 22 + -27r = 32 + 22 Combine like terms: -22 + 22 = 0 0 + -27r = 32 + 22 -27r = 32 + 22 Combine like terms: 32 + 22 = 54 -27r = 54 Divide each side by '-27'. r = -2 Simplifying r = -2
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