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Simplifying -28 + 2r = -8 + 6(2 + r) -28 + 2r = -8 + (2 * 6 + r * 6) -28 + 2r = -8 + (12 + 6r) Combine like terms: -8 + 12 = 4 -28 + 2r = 4 + 6r Solving -28 + 2r = 4 + 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. -28 + 2r + -6r = 4 + 6r + -6r Combine like terms: 2r + -6r = -4r -28 + -4r = 4 + 6r + -6r Combine like terms: 6r + -6r = 0 -28 + -4r = 4 + 0 -28 + -4r = 4 Add '28' to each side of the equation. -28 + 28 + -4r = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -4r = 4 + 28 -4r = 4 + 28 Combine like terms: 4 + 28 = 32 -4r = 32 Divide each side by '-4'. r = -8 Simplifying r = -8
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