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Simplifying 8r + 4 = 5r + 8(2r + 7) Reorder the terms: 4 + 8r = 5r + 8(2r + 7) Reorder the terms: 4 + 8r = 5r + 8(7 + 2r) 4 + 8r = 5r + (7 * 8 + 2r * 8) 4 + 8r = 5r + (56 + 16r) Reorder the terms: 4 + 8r = 56 + 5r + 16r Combine like terms: 5r + 16r = 21r 4 + 8r = 56 + 21r Solving 4 + 8r = 56 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 4 + 8r + -21r = 56 + 21r + -21r Combine like terms: 8r + -21r = -13r 4 + -13r = 56 + 21r + -21r Combine like terms: 21r + -21r = 0 4 + -13r = 56 + 0 4 + -13r = 56 Add '-4' to each side of the equation. 4 + -4 + -13r = 56 + -4 Combine like terms: 4 + -4 = 0 0 + -13r = 56 + -4 -13r = 56 + -4 Combine like terms: 56 + -4 = 52 -13r = 52 Divide each side by '-13'. r = -4 Simplifying r = -4
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