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Simplifying 2(3r + -3) = -22 + 8r Reorder the terms: 2(-3 + 3r) = -22 + 8r (-3 * 2 + 3r * 2) = -22 + 8r (-6 + 6r) = -22 + 8r Solving -6 + 6r = -22 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -6 + 6r + -8r = -22 + 8r + -8r Combine like terms: 6r + -8r = -2r -6 + -2r = -22 + 8r + -8r Combine like terms: 8r + -8r = 0 -6 + -2r = -22 + 0 -6 + -2r = -22 Add '6' to each side of the equation. -6 + 6 + -2r = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -2r = -22 + 6 -2r = -22 + 6 Combine like terms: -22 + 6 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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