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Simplifying -2(2r + 5) = -6(r + 2) Reorder the terms: -2(5 + 2r) = -6(r + 2) (5 * -2 + 2r * -2) = -6(r + 2) (-10 + -4r) = -6(r + 2) Reorder the terms: -10 + -4r = -6(2 + r) -10 + -4r = (2 * -6 + r * -6) -10 + -4r = (-12 + -6r) Solving -10 + -4r = -12 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -10 + -4r + 6r = -12 + -6r + 6r Combine like terms: -4r + 6r = 2r -10 + 2r = -12 + -6r + 6r Combine like terms: -6r + 6r = 0 -10 + 2r = -12 + 0 -10 + 2r = -12 Add '10' to each side of the equation. -10 + 10 + 2r = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2r = -12 + 10 2r = -12 + 10 Combine like terms: -12 + 10 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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