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Simplifying 5(r + -2) + 4 = 3r Reorder the terms: 5(-2 + r) + 4 = 3r (-2 * 5 + r * 5) + 4 = 3r (-10 + 5r) + 4 = 3r Reorder the terms: -10 + 4 + 5r = 3r Combine like terms: -10 + 4 = -6 -6 + 5r = 3r Solving -6 + 5r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -6 + 5r + -3r = 3r + -3r Combine like terms: 5r + -3r = 2r -6 + 2r = 3r + -3r Combine like terms: 3r + -3r = 0 -6 + 2r = 0 Add '6' to each side of the equation. -6 + 6 + 2r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = 0 + 6 2r = 0 + 6 Combine like terms: 0 + 6 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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