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Simplifying -4(r + 6) + 8 = -22 + -6r Reorder the terms: -4(6 + r) + 8 = -22 + -6r (6 * -4 + r * -4) + 8 = -22 + -6r (-24 + -4r) + 8 = -22 + -6r Reorder the terms: -24 + 8 + -4r = -22 + -6r Combine like terms: -24 + 8 = -16 -16 + -4r = -22 + -6r Solving -16 + -4r = -22 + -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. -16 + -4r + 6r = -22 + -6r + 6r Combine like terms: -4r + 6r = 2r -16 + 2r = -22 + -6r + 6r Combine like terms: -6r + 6r = 0 -16 + 2r = -22 + 0 -16 + 2r = -22 Add '16' to each side of the equation. -16 + 16 + 2r = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 2r = -22 + 16 2r = -22 + 16 Combine like terms: -22 + 16 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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