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Simplifying -2(-4r + 8) = -2(r + 3) Reorder the terms: -2(8 + -4r) = -2(r + 3) (8 * -2 + -4r * -2) = -2(r + 3) (-16 + 8r) = -2(r + 3) Reorder the terms: -16 + 8r = -2(3 + r) -16 + 8r = (3 * -2 + r * -2) -16 + 8r = (-6 + -2r) Solving -16 + 8r = -6 + -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. -16 + 8r + 2r = -6 + -2r + 2r Combine like terms: 8r + 2r = 10r -16 + 10r = -6 + -2r + 2r Combine like terms: -2r + 2r = 0 -16 + 10r = -6 + 0 -16 + 10r = -6 Add '16' to each side of the equation. -16 + 16 + 10r = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 10r = -6 + 16 10r = -6 + 16 Combine like terms: -6 + 16 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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