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Simplifying 12 + 4r = -2(r + -6) Reorder the terms: 12 + 4r = -2(-6 + r) 12 + 4r = (-6 * -2 + r * -2) 12 + 4r = (12 + -2r) Add '-12' to each side of the equation. 12 + -12 + 4r = 12 + -12 + -2r Combine like terms: 12 + -12 = 0 0 + 4r = 12 + -12 + -2r 4r = 12 + -12 + -2r Combine like terms: 12 + -12 = 0 4r = 0 + -2r 4r = -2r Solving 4r = -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 4r + 2r = -2r + 2r Combine like terms: 4r + 2r = 6r 6r = -2r + 2r Combine like terms: -2r + 2r = 0 6r = 0 Divide each side by '6'. r = 0 Simplifying r = 0
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