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Simplifying -2(5r + 2) = -6r + 28 Reorder the terms: -2(2 + 5r) = -6r + 28 (2 * -2 + 5r * -2) = -6r + 28 (-4 + -10r) = -6r + 28 Reorder the terms: -4 + -10r = 28 + -6r Solving -4 + -10r = 28 + -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. -4 + -10r + 6r = 28 + -6r + 6r Combine like terms: -10r + 6r = -4r -4 + -4r = 28 + -6r + 6r Combine like terms: -6r + 6r = 0 -4 + -4r = 28 + 0 -4 + -4r = 28 Add '4' to each side of the equation. -4 + 4 + -4r = 28 + 4 Combine like terms: -4 + 4 = 0 0 + -4r = 28 + 4 -4r = 28 + 4 Combine like terms: 28 + 4 = 32 -4r = 32 Divide each side by '-4'. r = -8 Simplifying r = -8
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