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Simplifying (r + -4) = 2(r + -8) + 3r Reorder the terms: (-4 + r) = 2(r + -8) + 3r Remove parenthesis around (-4 + r) -4 + r = 2(r + -8) + 3r Reorder the terms: -4 + r = 2(-8 + r) + 3r -4 + r = (-8 * 2 + r * 2) + 3r -4 + r = (-16 + 2r) + 3r Combine like terms: 2r + 3r = 5r -4 + r = -16 + 5r Solving -4 + r = -16 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -4 + r + -5r = -16 + 5r + -5r Combine like terms: r + -5r = -4r -4 + -4r = -16 + 5r + -5r Combine like terms: 5r + -5r = 0 -4 + -4r = -16 + 0 -4 + -4r = -16 Add '4' to each side of the equation. -4 + 4 + -4r = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -4r = -16 + 4 -4r = -16 + 4 Combine like terms: -16 + 4 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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