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Simplifying 7(2r + -4) = 3(r + 8) Reorder the terms: 7(-4 + 2r) = 3(r + 8) (-4 * 7 + 2r * 7) = 3(r + 8) (-28 + 14r) = 3(r + 8) Reorder the terms: -28 + 14r = 3(8 + r) -28 + 14r = (8 * 3 + r * 3) -28 + 14r = (24 + 3r) Solving -28 + 14r = 24 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -28 + 14r + -3r = 24 + 3r + -3r Combine like terms: 14r + -3r = 11r -28 + 11r = 24 + 3r + -3r Combine like terms: 3r + -3r = 0 -28 + 11r = 24 + 0 -28 + 11r = 24 Add '28' to each side of the equation. -28 + 28 + 11r = 24 + 28 Combine like terms: -28 + 28 = 0 0 + 11r = 24 + 28 11r = 24 + 28 Combine like terms: 24 + 28 = 52 11r = 52 Divide each side by '11'. r = 4.727272727 Simplifying r = 4.727272727
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