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Simplifying -12r = 18r + -6(4r + 6) Reorder the terms: -12r = 18r + -6(6 + 4r) -12r = 18r + (6 * -6 + 4r * -6) -12r = 18r + (-36 + -24r) Reorder the terms: -12r = -36 + 18r + -24r Combine like terms: 18r + -24r = -6r -12r = -36 + -6r Solving -12r = -36 + -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. -12r + 6r = -36 + -6r + 6r Combine like terms: -12r + 6r = -6r -6r = -36 + -6r + 6r Combine like terms: -6r + 6r = 0 -6r = -36 + 0 -6r = -36 Divide each side by '-6'. r = 6 Simplifying r = 6
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