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