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Simplifying 2(r + 4) + 8 = (r + 3) * 4 Reorder the terms: 2(4 + r) + 8 = (r + 3) * 4 (4 * 2 + r * 2) + 8 = (r + 3) * 4 (8 + 2r) + 8 = (r + 3) * 4 Reorder the terms: 8 + 8 + 2r = (r + 3) * 4 Combine like terms: 8 + 8 = 16 16 + 2r = (r + 3) * 4 Reorder the terms: 16 + 2r = (3 + r) * 4 Reorder the terms for easier multiplication: 16 + 2r = 4(3 + r) 16 + 2r = (3 * 4 + r * 4) 16 + 2r = (12 + 4r) Solving 16 + 2r = 12 + 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. 16 + 2r + -4r = 12 + 4r + -4r Combine like terms: 2r + -4r = -2r 16 + -2r = 12 + 4r + -4r Combine like terms: 4r + -4r = 0 16 + -2r = 12 + 0 16 + -2r = 12 Add '-16' to each side of the equation. 16 + -16 + -2r = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -2r = 12 + -16 -2r = 12 + -16 Combine like terms: 12 + -16 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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