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