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Simplifying 2(4r + -3) + -8 = 4 + 2r Reorder the terms: 2(-3 + 4r) + -8 = 4 + 2r (-3 * 2 + 4r * 2) + -8 = 4 + 2r (-6 + 8r) + -8 = 4 + 2r Reorder the terms: -6 + -8 + 8r = 4 + 2r Combine like terms: -6 + -8 = -14 -14 + 8r = 4 + 2r Solving -14 + 8r = 4 + 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. -14 + 8r + -2r = 4 + 2r + -2r Combine like terms: 8r + -2r = 6r -14 + 6r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 -14 + 6r = 4 + 0 -14 + 6r = 4 Add '14' to each side of the equation. -14 + 14 + 6r = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6r = 4 + 14 6r = 4 + 14 Combine like terms: 4 + 14 = 18 6r = 18 Divide each side by '6'. r = 3 Simplifying r = 3
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