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Simplifying -6 + -6r = 6r + 12r + -30 Reorder the terms: -6 + -6r = -30 + 6r + 12r Combine like terms: 6r + 12r = 18r -6 + -6r = -30 + 18r Solving -6 + -6r = -30 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. -6 + -6r + -18r = -30 + 18r + -18r Combine like terms: -6r + -18r = -24r -6 + -24r = -30 + 18r + -18r Combine like terms: 18r + -18r = 0 -6 + -24r = -30 + 0 -6 + -24r = -30 Add '6' to each side of the equation. -6 + 6 + -24r = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -24r = -30 + 6 -24r = -30 + 6 Combine like terms: -30 + 6 = -24 -24r = -24 Divide each side by '-24'. r = 1 Simplifying r = 1
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