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Simplifying 5r + 9(r + -5) + -3(s + -5) = 0 Reorder the terms: 5r + 9(-5 + r) + -3(s + -5) = 0 5r + (-5 * 9 + r * 9) + -3(s + -5) = 0 5r + (-45 + 9r) + -3(s + -5) = 0 Reorder the terms: 5r + -45 + 9r + -3(-5 + s) = 0 5r + -45 + 9r + (-5 * -3 + s * -3) = 0 5r + -45 + 9r + (15 + -3s) = 0 Reorder the terms: -45 + 15 + 5r + 9r + -3s = 0 Combine like terms: -45 + 15 = -30 -30 + 5r + 9r + -3s = 0 Combine like terms: 5r + 9r = 14r -30 + 14r + -3s = 0 Solving -30 + 14r + -3s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 14r + 30 + -3s = 0 + 30 Reorder the terms: -30 + 30 + 14r + -3s = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 14r + -3s = 0 + 30 14r + -3s = 0 + 30 Combine like terms: 0 + 30 = 30 14r + -3s = 30 Add '3s' to each side of the equation. 14r + -3s + 3s = 30 + 3s Combine like terms: -3s + 3s = 0 14r + 0 = 30 + 3s 14r = 30 + 3s Divide each side by '14'. r = 2.142857143 + 0.2142857143s Simplifying r = 2.142857143 + 0.2142857143s
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