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Simplifying 2(r + -4) + 5 = 9 + -4r Reorder the terms: 2(-4 + r) + 5 = 9 + -4r (-4 * 2 + r * 2) + 5 = 9 + -4r (-8 + 2r) + 5 = 9 + -4r Reorder the terms: -8 + 5 + 2r = 9 + -4r Combine like terms: -8 + 5 = -3 -3 + 2r = 9 + -4r Solving -3 + 2r = 9 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -3 + 2r + 4r = 9 + -4r + 4r Combine like terms: 2r + 4r = 6r -3 + 6r = 9 + -4r + 4r Combine like terms: -4r + 4r = 0 -3 + 6r = 9 + 0 -3 + 6r = 9 Add '3' to each side of the equation. -3 + 3 + 6r = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6r = 9 + 3 6r = 9 + 3 Combine like terms: 9 + 3 = 12 6r = 12 Divide each side by '6'. r = 2 Simplifying r = 2
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