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Simplifying 7r + -2(r + -7) + 6(s + -7) = 0 Reorder the terms: 7r + -2(-7 + r) + 6(s + -7) = 0 7r + (-7 * -2 + r * -2) + 6(s + -7) = 0 7r + (14 + -2r) + 6(s + -7) = 0 Reorder the terms: 7r + 14 + -2r + 6(-7 + s) = 0 7r + 14 + -2r + (-7 * 6 + s * 6) = 0 7r + 14 + -2r + (-42 + 6s) = 0 Reorder the terms: 14 + -42 + 7r + -2r + 6s = 0 Combine like terms: 14 + -42 = -28 -28 + 7r + -2r + 6s = 0 Combine like terms: 7r + -2r = 5r -28 + 5r + 6s = 0 Solving -28 + 5r + 6s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 5r + 28 + 6s = 0 + 28 Reorder the terms: -28 + 28 + 5r + 6s = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 5r + 6s = 0 + 28 5r + 6s = 0 + 28 Combine like terms: 0 + 28 = 28 5r + 6s = 28 Add '-6s' to each side of the equation. 5r + 6s + -6s = 28 + -6s Combine like terms: 6s + -6s = 0 5r + 0 = 28 + -6s 5r = 28 + -6s Divide each side by '5'. r = 5.6 + -1.2s Simplifying r = 5.6 + -1.2s
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