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Simplifying 3(r + -10s) + -4(7s + 2r) = 0 (r * 3 + -10s * 3) + -4(7s + 2r) = 0 (3r + -30s) + -4(7s + 2r) = 0 Reorder the terms: 3r + -30s + -4(2r + 7s) = 0 3r + -30s + (2r * -4 + 7s * -4) = 0 3r + -30s + (-8r + -28s) = 0 Reorder the terms: 3r + -8r + -30s + -28s = 0 Combine like terms: 3r + -8r = -5r -5r + -30s + -28s = 0 Combine like terms: -30s + -28s = -58s -5r + -58s = 0 Solving -5r + -58s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '58s' to each side of the equation. -5r + -58s + 58s = 0 + 58s Combine like terms: -58s + 58s = 0 -5r + 0 = 0 + 58s -5r = 0 + 58s Remove the zero: -5r = 58s Divide each side by '-5'. r = -11.6s Simplifying r = -11.6s
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