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Simplifying -22 = -7 + 4(r + 8) Reorder the terms: -22 = -7 + 4(8 + r) -22 = -7 + (8 * 4 + r * 4) -22 = -7 + (32 + 4r) Combine like terms: -7 + 32 = 25 -22 = 25 + 4r Solving -22 = 25 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -22 + -4r = 25 + 4r + -4r Combine like terms: 4r + -4r = 0 -22 + -4r = 25 + 0 -22 + -4r = 25 Add '22' to each side of the equation. -22 + 22 + -4r = 25 + 22 Combine like terms: -22 + 22 = 0 0 + -4r = 25 + 22 -4r = 25 + 22 Combine like terms: 25 + 22 = 47 -4r = 47 Divide each side by '-4'. r = -11.75 Simplifying r = -11.75
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