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Simplifying 7r + -2 = 5(r + -4) Reorder the terms: -2 + 7r = 5(r + -4) Reorder the terms: -2 + 7r = 5(-4 + r) -2 + 7r = (-4 * 5 + r * 5) -2 + 7r = (-20 + 5r) Solving -2 + 7r = -20 + 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. -2 + 7r + -5r = -20 + 5r + -5r Combine like terms: 7r + -5r = 2r -2 + 2r = -20 + 5r + -5r Combine like terms: 5r + -5r = 0 -2 + 2r = -20 + 0 -2 + 2r = -20 Add '2' to each side of the equation. -2 + 2 + 2r = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 2r = -20 + 2 2r = -20 + 2 Combine like terms: -20 + 2 = -18 2r = -18 Divide each side by '2'. r = -9 Simplifying r = -9
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