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Simplifying 2r + 8 = -4(-1r + 1) Reorder the terms: 8 + 2r = -4(-1r + 1) Reorder the terms: 8 + 2r = -4(1 + -1r) 8 + 2r = (1 * -4 + -1r * -4) 8 + 2r = (-4 + 4r) Solving 8 + 2r = -4 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 8 + 2r + -4r = -4 + 4r + -4r Combine like terms: 2r + -4r = -2r 8 + -2r = -4 + 4r + -4r Combine like terms: 4r + -4r = 0 8 + -2r = -4 + 0 8 + -2r = -4 Add '-8' to each side of the equation. 8 + -8 + -2r = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2r = -4 + -8 -2r = -4 + -8 Combine like terms: -4 + -8 = -12 -2r = -12 Divide each side by '-2'. r = 6 Simplifying r = 6
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