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Simplifying 6(-5r + -4) + -3(-3s + -5) = 0 Reorder the terms: 6(-4 + -5r) + -3(-3s + -5) = 0 (-4 * 6 + -5r * 6) + -3(-3s + -5) = 0 (-24 + -30r) + -3(-3s + -5) = 0 Reorder the terms: -24 + -30r + -3(-5 + -3s) = 0 -24 + -30r + (-5 * -3 + -3s * -3) = 0 -24 + -30r + (15 + 9s) = 0 Reorder the terms: -24 + 15 + -30r + 9s = 0 Combine like terms: -24 + 15 = -9 -9 + -30r + 9s = 0 Solving -9 + -30r + 9s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -30r + 9 + 9s = 0 + 9 Reorder the terms: -9 + 9 + -30r + 9s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -30r + 9s = 0 + 9 -30r + 9s = 0 + 9 Combine like terms: 0 + 9 = 9 -30r + 9s = 9 Add '-9s' to each side of the equation. -30r + 9s + -9s = 9 + -9s Combine like terms: 9s + -9s = 0 -30r + 0 = 9 + -9s -30r = 9 + -9s Divide each side by '-30'. r = -0.3 + 0.3s Simplifying r = -0.3 + 0.3s
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