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