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Simplifying 6(r + -5) + 4r = 15 + -5r Reorder the terms: 6(-5 + r) + 4r = 15 + -5r (-5 * 6 + r * 6) + 4r = 15 + -5r (-30 + 6r) + 4r = 15 + -5r Combine like terms: 6r + 4r = 10r -30 + 10r = 15 + -5r Solving -30 + 10r = 15 + -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. -30 + 10r + 5r = 15 + -5r + 5r Combine like terms: 10r + 5r = 15r -30 + 15r = 15 + -5r + 5r Combine like terms: -5r + 5r = 0 -30 + 15r = 15 + 0 -30 + 15r = 15 Add '30' to each side of the equation. -30 + 30 + 15r = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 15r = 15 + 30 15r = 15 + 30 Combine like terms: 15 + 30 = 45 15r = 45 Divide each side by '15'. r = 3 Simplifying r = 3
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