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Simplifying -4 + 8(r + 7) = 100 Reorder the terms: -4 + 8(7 + r) = 100 -4 + (7 * 8 + r * 8) = 100 -4 + (56 + 8r) = 100 Combine like terms: -4 + 56 = 52 52 + 8r = 100 Solving 52 + 8r = 100 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 8r = 100 + -52 Combine like terms: 52 + -52 = 0 0 + 8r = 100 + -52 8r = 100 + -52 Combine like terms: 100 + -52 = 48 8r = 48 Divide each side by '8'. r = 6 Simplifying r = 6
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