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Simplifying -9(4r + 4) + 20r = -20 + -6 + -14r Reorder the terms: -9(4 + 4r) + 20r = -20 + -6 + -14r (4 * -9 + 4r * -9) + 20r = -20 + -6 + -14r (-36 + -36r) + 20r = -20 + -6 + -14r Combine like terms: -36r + 20r = -16r -36 + -16r = -20 + -6 + -14r Combine like terms: -20 + -6 = -26 -36 + -16r = -26 + -14r Solving -36 + -16r = -26 + -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. -36 + -16r + 14r = -26 + -14r + 14r Combine like terms: -16r + 14r = -2r -36 + -2r = -26 + -14r + 14r Combine like terms: -14r + 14r = 0 -36 + -2r = -26 + 0 -36 + -2r = -26 Add '36' to each side of the equation. -36 + 36 + -2r = -26 + 36 Combine like terms: -36 + 36 = 0 0 + -2r = -26 + 36 -2r = -26 + 36 Combine like terms: -26 + 36 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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