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