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Simplifying 4(r + 3s + 1) = 6r Reorder the terms: 4(1 + r + 3s) = 6r (1 * 4 + r * 4 + 3s * 4) = 6r (4 + 4r + 12s) = 6r Solving 4 + 4r + 12s = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 4 + 4r + -6r + 12s = 6r + -6r Combine like terms: 4r + -6r = -2r 4 + -2r + 12s = 6r + -6r Combine like terms: 6r + -6r = 0 4 + -2r + 12s = 0 Add '-4' to each side of the equation. 4 + -2r + -4 + 12s = 0 + -4 Reorder the terms: 4 + -4 + -2r + 12s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2r + 12s = 0 + -4 -2r + 12s = 0 + -4 Combine like terms: 0 + -4 = -4 -2r + 12s = -4 Add '-12s' to each side of the equation. -2r + 12s + -12s = -4 + -12s Combine like terms: 12s + -12s = 0 -2r + 0 = -4 + -12s -2r = -4 + -12s Divide each side by '-2'. r = 2 + 6s Simplifying r = 2 + 6s
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