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Simplifying 2(-8 + -7r) + 4r = -28 + -6r (-8 * 2 + -7r * 2) + 4r = -28 + -6r (-16 + -14r) + 4r = -28 + -6r Combine like terms: -14r + 4r = -10r -16 + -10r = -28 + -6r Solving -16 + -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. -16 + -10r + 6r = -28 + -6r + 6r Combine like terms: -10r + 6r = -4r -16 + -4r = -28 + -6r + 6r Combine like terms: -6r + 6r = 0 -16 + -4r = -28 + 0 -16 + -4r = -28 Add '16' to each side of the equation. -16 + 16 + -4r = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -4r = -28 + 16 -4r = -28 + 16 Combine like terms: -28 + 16 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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