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Simplifying 4r + -3(r + -4) + 6(s + -4) = 0 Reorder the terms: 4r + -3(-4 + r) + 6(s + -4) = 0 4r + (-4 * -3 + r * -3) + 6(s + -4) = 0 4r + (12 + -3r) + 6(s + -4) = 0 Reorder the terms: 4r + 12 + -3r + 6(-4 + s) = 0 4r + 12 + -3r + (-4 * 6 + s * 6) = 0 4r + 12 + -3r + (-24 + 6s) = 0 Reorder the terms: 12 + -24 + 4r + -3r + 6s = 0 Combine like terms: 12 + -24 = -12 -12 + 4r + -3r + 6s = 0 Combine like terms: 4r + -3r = 1r -12 + 1r + 6s = 0 Solving -12 + 1r + 6s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 1r + 12 + 6s = 0 + 12 Reorder the terms: -12 + 12 + 1r + 6s = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1r + 6s = 0 + 12 1r + 6s = 0 + 12 Combine like terms: 0 + 12 = 12 1r + 6s = 12 Add '-6s' to each side of the equation. 1r + 6s + -6s = 12 + -6s Combine like terms: 6s + -6s = 0 1r + 0 = 12 + -6s 1r = 12 + -6s Divide each side by '1'. r = 12 + -6s Simplifying r = 12 + -6s
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