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Simplifying 7r + -3(r + -7) + 8(s + -7) = 0 Reorder the terms: 7r + -3(-7 + r) + 8(s + -7) = 0 7r + (-7 * -3 + r * -3) + 8(s + -7) = 0 7r + (21 + -3r) + 8(s + -7) = 0 Reorder the terms: 7r + 21 + -3r + 8(-7 + s) = 0 7r + 21 + -3r + (-7 * 8 + s * 8) = 0 7r + 21 + -3r + (-56 + 8s) = 0 Reorder the terms: 21 + -56 + 7r + -3r + 8s = 0 Combine like terms: 21 + -56 = -35 -35 + 7r + -3r + 8s = 0 Combine like terms: 7r + -3r = 4r -35 + 4r + 8s = 0 Solving -35 + 4r + 8s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 4r + 35 + 8s = 0 + 35 Reorder the terms: -35 + 35 + 4r + 8s = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 4r + 8s = 0 + 35 4r + 8s = 0 + 35 Combine like terms: 0 + 35 = 35 4r + 8s = 35 Add '-8s' to each side of the equation. 4r + 8s + -8s = 35 + -8s Combine like terms: 8s + -8s = 0 4r + 0 = 35 + -8s 4r = 35 + -8s Divide each side by '4'. r = 8.75 + -2s Simplifying r = 8.75 + -2s
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