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