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Simplifying 2r + -2(5 + r) = 6 + 2r 2r + (5 * -2 + r * -2) = 6 + 2r 2r + (-10 + -2r) = 6 + 2r Reorder the terms: -10 + 2r + -2r = 6 + 2r Combine like terms: 2r + -2r = 0 -10 + 0 = 6 + 2r -10 = 6 + 2r Solving -10 = 6 + 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 + -2r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + -2r = 6 + 0 -10 + -2r = 6 Add '10' to each side of the equation. -10 + 10 + -2r = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2r = 6 + 10 -2r = 6 + 10 Combine like terms: 6 + 10 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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