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Simplifying 3 + -12r + 2 + 4(r + 6) = 0 Reorder the terms: 3 + -12r + 2 + 4(6 + r) = 0 3 + -12r + 2 + (6 * 4 + r * 4) = 0 3 + -12r + 2 + (24 + 4r) = 0 Reorder the terms: 3 + 2 + 24 + -12r + 4r = 0 Combine like terms: 3 + 2 = 5 5 + 24 + -12r + 4r = 0 Combine like terms: 5 + 24 = 29 29 + -12r + 4r = 0 Combine like terms: -12r + 4r = -8r 29 + -8r = 0 Solving 29 + -8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -8r = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -8r = 0 + -29 -8r = 0 + -29 Combine like terms: 0 + -29 = -29 -8r = -29 Divide each side by '-8'. r = 3.625 Simplifying r = 3.625
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