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Simplifying 3 + 4(3r + 1) = -11 + -6r Reorder the terms: 3 + 4(1 + 3r) = -11 + -6r 3 + (1 * 4 + 3r * 4) = -11 + -6r 3 + (4 + 12r) = -11 + -6r Combine like terms: 3 + 4 = 7 7 + 12r = -11 + -6r Solving 7 + 12r = -11 + -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. 7 + 12r + 6r = -11 + -6r + 6r Combine like terms: 12r + 6r = 18r 7 + 18r = -11 + -6r + 6r Combine like terms: -6r + 6r = 0 7 + 18r = -11 + 0 7 + 18r = -11 Add '-7' to each side of the equation. 7 + -7 + 18r = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 18r = -11 + -7 18r = -11 + -7 Combine like terms: -11 + -7 = -18 18r = -18 Divide each side by '18'. r = -1 Simplifying r = -1
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