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Simplifying 8(r + -2) = r + -22 + 5r Reorder the terms: 8(-2 + r) = r + -22 + 5r (-2 * 8 + r * 8) = r + -22 + 5r (-16 + 8r) = r + -22 + 5r Reorder the terms: -16 + 8r = -22 + r + 5r Combine like terms: r + 5r = 6r -16 + 8r = -22 + 6r Solving -16 + 8r = -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 + 8r + -6r = -22 + 6r + -6r Combine like terms: 8r + -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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