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Simplifying 6r + 5 = 4(r + 2) + -2 Reorder the terms: 5 + 6r = 4(r + 2) + -2 Reorder the terms: 5 + 6r = 4(2 + r) + -2 5 + 6r = (2 * 4 + r * 4) + -2 5 + 6r = (8 + 4r) + -2 Reorder the terms: 5 + 6r = 8 + -2 + 4r Combine like terms: 8 + -2 = 6 5 + 6r = 6 + 4r Solving 5 + 6r = 6 + 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. 5 + 6r + -4r = 6 + 4r + -4r Combine like terms: 6r + -4r = 2r 5 + 2r = 6 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + 2r = 6 + 0 5 + 2r = 6 Add '-5' to each side of the equation. 5 + -5 + 2r = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = 6 + -5 2r = 6 + -5 Combine like terms: 6 + -5 = 1 2r = 1 Divide each side by '2'. r = 0.5 Simplifying r = 0.5
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