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Simplifying 3r + 8 = 4(r + 4) Reorder the terms: 8 + 3r = 4(r + 4) Reorder the terms: 8 + 3r = 4(4 + r) 8 + 3r = (4 * 4 + r * 4) 8 + 3r = (16 + 4r) Solving 8 + 3r = 16 + 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. 8 + 3r + -4r = 16 + 4r + -4r Combine like terms: 3r + -4r = -1r 8 + -1r = 16 + 4r + -4r Combine like terms: 4r + -4r = 0 8 + -1r = 16 + 0 8 + -1r = 16 Add '-8' to each side of the equation. 8 + -8 + -1r = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 16 + -8 -1r = 16 + -8 Combine like terms: 16 + -8 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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