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Simplifying 6(r + -2) + 6 = 14 + r Reorder the terms: 6(-2 + r) + 6 = 14 + r (-2 * 6 + r * 6) + 6 = 14 + r (-12 + 6r) + 6 = 14 + r Reorder the terms: -12 + 6 + 6r = 14 + r Combine like terms: -12 + 6 = -6 -6 + 6r = 14 + r Solving -6 + 6r = 14 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -6 + 6r + -1r = 14 + r + -1r Combine like terms: 6r + -1r = 5r -6 + 5r = 14 + r + -1r Combine like terms: r + -1r = 0 -6 + 5r = 14 + 0 -6 + 5r = 14 Add '6' to each side of the equation. -6 + 6 + 5r = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5r = 14 + 6 5r = 14 + 6 Combine like terms: 14 + 6 = 20 5r = 20 Divide each side by '5'. r = 4 Simplifying r = 4
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