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Simplifying 2 + 2(4 + -3r) = 18 + 2r 2 + (4 * 2 + -3r * 2) = 18 + 2r 2 + (8 + -6r) = 18 + 2r Combine like terms: 2 + 8 = 10 10 + -6r = 18 + 2r Solving 10 + -6r = 18 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 10 + -6r + -2r = 18 + 2r + -2r Combine like terms: -6r + -2r = -8r 10 + -8r = 18 + 2r + -2r Combine like terms: 2r + -2r = 0 10 + -8r = 18 + 0 10 + -8r = 18 Add '-10' to each side of the equation. 10 + -10 + -8r = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -8r = 18 + -10 -8r = 18 + -10 Combine like terms: 18 + -10 = 8 -8r = 8 Divide each side by '-8'. r = -1 Simplifying r = -1
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