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Simplifying 4r + -12 = -8 + -2(-1r + -6) Reorder the terms: -12 + 4r = -8 + -2(-1r + -6) Reorder the terms: -12 + 4r = -8 + -2(-6 + -1r) -12 + 4r = -8 + (-6 * -2 + -1r * -2) -12 + 4r = -8 + (12 + 2r) Combine like terms: -8 + 12 = 4 -12 + 4r = 4 + 2r Solving -12 + 4r = 4 + 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. -12 + 4r + -2r = 4 + 2r + -2r Combine like terms: 4r + -2r = 2r -12 + 2r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 2r = 4 + 0 -12 + 2r = 4 Add '12' to each side of the equation. -12 + 12 + 2r = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2r = 4 + 12 2r = 4 + 12 Combine like terms: 4 + 12 = 16 2r = 16 Divide each side by '2'. r = 8 Simplifying r = 8
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