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Simplifying 2r + -8 + 4 = 5(r + 1) Reorder the terms: -8 + 4 + 2r = 5(r + 1) Combine like terms: -8 + 4 = -4 -4 + 2r = 5(r + 1) Reorder the terms: -4 + 2r = 5(1 + r) -4 + 2r = (1 * 5 + r * 5) -4 + 2r = (5 + 5r) Solving -4 + 2r = 5 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -4 + 2r + -5r = 5 + 5r + -5r Combine like terms: 2r + -5r = -3r -4 + -3r = 5 + 5r + -5r Combine like terms: 5r + -5r = 0 -4 + -3r = 5 + 0 -4 + -3r = 5 Add '4' to each side of the equation. -4 + 4 + -3r = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -3r = 5 + 4 -3r = 5 + 4 Combine like terms: 5 + 4 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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