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Simplifying 3(-1r + 4) + (12r + 4) = 0 Reorder the terms: 3(4 + -1r) + (12r + 4) = 0 (4 * 3 + -1r * 3) + (12r + 4) = 0 (12 + -3r) + (12r + 4) = 0 Reorder the terms: 12 + -3r + (4 + 12r) = 0 Remove parenthesis around (4 + 12r) 12 + -3r + 4 + 12r = 0 Reorder the terms: 12 + 4 + -3r + 12r = 0 Combine like terms: 12 + 4 = 16 16 + -3r + 12r = 0 Combine like terms: -3r + 12r = 9r 16 + 9r = 0 Solving 16 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9r = 0 + -16 9r = 0 + -16 Combine like terms: 0 + -16 = -16 9r = -16 Divide each side by '9'. r = -1.777777778 Simplifying r = -1.777777778
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