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Simplifying 18 = 3(-6 + -6r) + -6(4r + -6) 18 = (-6 * 3 + -6r * 3) + -6(4r + -6) 18 = (-18 + -18r) + -6(4r + -6) Reorder the terms: 18 = -18 + -18r + -6(-6 + 4r) 18 = -18 + -18r + (-6 * -6 + 4r * -6) 18 = -18 + -18r + (36 + -24r) Reorder the terms: 18 = -18 + 36 + -18r + -24r Combine like terms: -18 + 36 = 18 18 = 18 + -18r + -24r Combine like terms: -18r + -24r = -42r 18 = 18 + -42r Add '-18' to each side of the equation. 18 + -18 = 18 + -18 + -42r Combine like terms: 18 + -18 = 0 0 = 18 + -18 + -42r Combine like terms: 18 + -18 = 0 0 = 0 + -42r 0 = -42r Solving 0 = -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. 0 + 42r = -42r + 42r Remove the zero: 42r = -42r + 42r Combine like terms: -42r + 42r = 0 42r = 0 Divide each side by '42'. r = 0 Simplifying r = 0
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