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Simplifying 4(3 + r) = 24 + 6r (3 * 4 + r * 4) = 24 + 6r (12 + 4r) = 24 + 6r Solving 12 + 4r = 24 + 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. 12 + 4r + -6r = 24 + 6r + -6r Combine like terms: 4r + -6r = -2r 12 + -2r = 24 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + -2r = 24 + 0 12 + -2r = 24 Add '-12' to each side of the equation. 12 + -12 + -2r = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2r = 24 + -12 -2r = 24 + -12 Combine like terms: 24 + -12 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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