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Simplifying -2(8 + 6r) + 4r = -18 + -6r (8 * -2 + 6r * -2) + 4r = -18 + -6r (-16 + -12r) + 4r = -18 + -6r Combine like terms: -12r + 4r = -8r -16 + -8r = -18 + -6r Solving -16 + -8r = -18 + -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 = -18 + -6r + 6r Combine like terms: -8r + 6r = -2r -16 + -2r = -18 + -6r + 6r Combine like terms: -6r + 6r = 0 -16 + -2r = -18 + 0 -16 + -2r = -18 Add '16' to each side of the equation. -16 + 16 + -2r = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -2r = -18 + 16 -2r = -18 + 16 Combine like terms: -18 + 16 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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