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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 = -6r -4 + -6r = -8 + 2r + -2r Combine like terms: 2r + -2r = 0 -4 + -6r = -8 + 0 -4 + -6r = -8 Add '4' to each side of the equation. -4 + 4 + -6r = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -6r = -8 + 4 -6r = -8 + 4 Combine like terms: -8 + 4 = -4 -6r = -4 Divide each side by '-6'. r = 0.6666666667 Simplifying r = 0.6666666667
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