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Simplifying 24 + 5r = 5r + 4(2r + -4) Reorder the terms: 24 + 5r = 5r + 4(-4 + 2r) 24 + 5r = 5r + (-4 * 4 + 2r * 4) 24 + 5r = 5r + (-16 + 8r) Reorder the terms: 24 + 5r = -16 + 5r + 8r Combine like terms: 5r + 8r = 13r 24 + 5r = -16 + 13r Solving 24 + 5r = -16 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 24 + 5r + -13r = -16 + 13r + -13r Combine like terms: 5r + -13r = -8r 24 + -8r = -16 + 13r + -13r Combine like terms: 13r + -13r = 0 24 + -8r = -16 + 0 24 + -8r = -16 Add '-24' to each side of the equation. 24 + -24 + -8r = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -8r = -16 + -24 -8r = -16 + -24 Combine like terms: -16 + -24 = -40 -8r = -40 Divide each side by '-8'. r = 5 Simplifying r = 5
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