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Simplifying 2(r + -4) = 32 + 7r Reorder the terms: 2(-4 + r) = 32 + 7r (-4 * 2 + r * 2) = 32 + 7r (-8 + 2r) = 32 + 7r Solving -8 + 2r = 32 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -8 + 2r + -7r = 32 + 7r + -7r Combine like terms: 2r + -7r = -5r -8 + -5r = 32 + 7r + -7r Combine like terms: 7r + -7r = 0 -8 + -5r = 32 + 0 -8 + -5r = 32 Add '8' to each side of the equation. -8 + 8 + -5r = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 32 + 8 -5r = 32 + 8 Combine like terms: 32 + 8 = 40 -5r = 40 Divide each side by '-5'. r = -8 Simplifying r = -8
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