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Simplifying -7(2r + 6) + 9(4r + 4) = 0 Reorder the terms: -7(6 + 2r) + 9(4r + 4) = 0 (6 * -7 + 2r * -7) + 9(4r + 4) = 0 (-42 + -14r) + 9(4r + 4) = 0 Reorder the terms: -42 + -14r + 9(4 + 4r) = 0 -42 + -14r + (4 * 9 + 4r * 9) = 0 -42 + -14r + (36 + 36r) = 0 Reorder the terms: -42 + 36 + -14r + 36r = 0 Combine like terms: -42 + 36 = -6 -6 + -14r + 36r = 0 Combine like terms: -14r + 36r = 22r -6 + 22r = 0 Solving -6 + 22r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 22r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 22r = 0 + 6 22r = 0 + 6 Combine like terms: 0 + 6 = 6 22r = 6 Divide each side by '22'. r = 0.2727272727 Simplifying r = 0.2727272727
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