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Simplifying -4(r + 4) = 7(2r + 4) Reorder the terms: -4(4 + r) = 7(2r + 4) (4 * -4 + r * -4) = 7(2r + 4) (-16 + -4r) = 7(2r + 4) Reorder the terms: -16 + -4r = 7(4 + 2r) -16 + -4r = (4 * 7 + 2r * 7) -16 + -4r = (28 + 14r) Solving -16 + -4r = 28 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -16 + -4r + -14r = 28 + 14r + -14r Combine like terms: -4r + -14r = -18r -16 + -18r = 28 + 14r + -14r Combine like terms: 14r + -14r = 0 -16 + -18r = 28 + 0 -16 + -18r = 28 Add '16' to each side of the equation. -16 + 16 + -18r = 28 + 16 Combine like terms: -16 + 16 = 0 0 + -18r = 28 + 16 -18r = 28 + 16 Combine like terms: 28 + 16 = 44 -18r = 44 Divide each side by '-18'. r = -2.444444444 Simplifying r = -2.444444444
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