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Simplifying 3 + -2(2r + -6) = 35 + r Reorder the terms: 3 + -2(-6 + 2r) = 35 + r 3 + (-6 * -2 + 2r * -2) = 35 + r 3 + (12 + -4r) = 35 + r Combine like terms: 3 + 12 = 15 15 + -4r = 35 + r Solving 15 + -4r = 35 + 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. 15 + -4r + -1r = 35 + r + -1r Combine like terms: -4r + -1r = -5r 15 + -5r = 35 + r + -1r Combine like terms: r + -1r = 0 15 + -5r = 35 + 0 15 + -5r = 35 Add '-15' to each side of the equation. 15 + -15 + -5r = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -5r = 35 + -15 -5r = 35 + -15 Combine like terms: 35 + -15 = 20 -5r = 20 Divide each side by '-5'. r = -4 Simplifying r = -4
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