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Simplifying -6(3r + 8) + -2r = 30 + 6r Reorder the terms: -6(8 + 3r) + -2r = 30 + 6r (8 * -6 + 3r * -6) + -2r = 30 + 6r (-48 + -18r) + -2r = 30 + 6r Combine like terms: -18r + -2r = -20r -48 + -20r = 30 + 6r Solving -48 + -20r = 30 + 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. -48 + -20r + -6r = 30 + 6r + -6r Combine like terms: -20r + -6r = -26r -48 + -26r = 30 + 6r + -6r Combine like terms: 6r + -6r = 0 -48 + -26r = 30 + 0 -48 + -26r = 30 Add '48' to each side of the equation. -48 + 48 + -26r = 30 + 48 Combine like terms: -48 + 48 = 0 0 + -26r = 30 + 48 -26r = 30 + 48 Combine like terms: 30 + 48 = 78 -26r = 78 Divide each side by '-26'. r = -3 Simplifying r = -3
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