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Simplifying 2r + 4 = 3r + -2(r + -4) Reorder the terms: 4 + 2r = 3r + -2(r + -4) Reorder the terms: 4 + 2r = 3r + -2(-4 + r) 4 + 2r = 3r + (-4 * -2 + r * -2) 4 + 2r = 3r + (8 + -2r) Reorder the terms: 4 + 2r = 8 + 3r + -2r Combine like terms: 3r + -2r = 1r 4 + 2r = 8 + 1r Solving 4 + 2r = 8 + 1r 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. 4 + 2r + -1r = 8 + 1r + -1r Combine like terms: 2r + -1r = 1r 4 + 1r = 8 + 1r + -1r Combine like terms: 1r + -1r = 0 4 + 1r = 8 + 0 4 + 1r = 8 Add '-4' to each side of the equation. 4 + -4 + 1r = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 8 + -4 1r = 8 + -4 Combine like terms: 8 + -4 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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