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Simplifying 4(r + 4) = 28 + 6r Reorder the terms: 4(4 + r) = 28 + 6r (4 * 4 + r * 4) = 28 + 6r (16 + 4r) = 28 + 6r Solving 16 + 4r = 28 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 16 + 4r + -6r = 28 + 6r + -6r Combine like terms: 4r + -6r = -2r 16 + -2r = 28 + 6r + -6r Combine like terms: 6r + -6r = 0 16 + -2r = 28 + 0 16 + -2r = 28 Add '-16' to each side of the equation. 16 + -16 + -2r = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -2r = 28 + -16 -2r = 28 + -16 Combine like terms: 28 + -16 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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