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Simplifying 20r + -12 = 2r + -2(-12r + -18) Reorder the terms: -12 + 20r = 2r + -2(-12r + -18) Reorder the terms: -12 + 20r = 2r + -2(-18 + -12r) -12 + 20r = 2r + (-18 * -2 + -12r * -2) -12 + 20r = 2r + (36 + 24r) Reorder the terms: -12 + 20r = 36 + 2r + 24r Combine like terms: 2r + 24r = 26r -12 + 20r = 36 + 26r Solving -12 + 20r = 36 + 26r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26r' to each side of the equation. -12 + 20r + -26r = 36 + 26r + -26r Combine like terms: 20r + -26r = -6r -12 + -6r = 36 + 26r + -26r Combine like terms: 26r + -26r = 0 -12 + -6r = 36 + 0 -12 + -6r = 36 Add '12' to each side of the equation. -12 + 12 + -6r = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -6r = 36 + 12 -6r = 36 + 12 Combine like terms: 36 + 12 = 48 -6r = 48 Divide each side by '-6'. r = -8 Simplifying r = -8
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