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Simplifying 6r + -7 = -19 + 2r Reorder the terms: -7 + 6r = -19 + 2r Solving -7 + 6r = -19 + 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. -7 + 6r + -2r = -19 + 2r + -2r Combine like terms: 6r + -2r = 4r -7 + 4r = -19 + 2r + -2r Combine like terms: 2r + -2r = 0 -7 + 4r = -19 + 0 -7 + 4r = -19 Add '7' to each side of the equation. -7 + 7 + 4r = -19 + 7 Combine like terms: -7 + 7 = 0 0 + 4r = -19 + 7 4r = -19 + 7 Combine like terms: -19 + 7 = -12 4r = -12 Divide each side by '4'. r = -3 Simplifying r = -3
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