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Simplifying 22 + -8r = 8(3r + 6) + 6 Reorder the terms: 22 + -8r = 8(6 + 3r) + 6 22 + -8r = (6 * 8 + 3r * 8) + 6 22 + -8r = (48 + 24r) + 6 Reorder the terms: 22 + -8r = 48 + 6 + 24r Combine like terms: 48 + 6 = 54 22 + -8r = 54 + 24r Solving 22 + -8r = 54 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 22 + -8r + -24r = 54 + 24r + -24r Combine like terms: -8r + -24r = -32r 22 + -32r = 54 + 24r + -24r Combine like terms: 24r + -24r = 0 22 + -32r = 54 + 0 22 + -32r = 54 Add '-22' to each side of the equation. 22 + -22 + -32r = 54 + -22 Combine like terms: 22 + -22 = 0 0 + -32r = 54 + -22 -32r = 54 + -22 Combine like terms: 54 + -22 = 32 -32r = 32 Divide each side by '-32'. r = -1 Simplifying r = -1
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