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Simplifying 69r + -2(5x + 7) = 2x + 5 Reorder the terms: 69r + -2(7 + 5x) = 2x + 5 69r + (7 * -2 + 5x * -2) = 2x + 5 69r + (-14 + -10x) = 2x + 5 Reorder the terms: -14 + 69r + -10x = 2x + 5 Reorder the terms: -14 + 69r + -10x = 5 + 2x Solving -14 + 69r + -10x = 5 + 2x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 69r + 14 + -10x = 5 + 14 + 2x Reorder the terms: -14 + 14 + 69r + -10x = 5 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + 69r + -10x = 5 + 14 + 2x 69r + -10x = 5 + 14 + 2x Combine like terms: 5 + 14 = 19 69r + -10x = 19 + 2x Add '10x' to each side of the equation. 69r + -10x + 10x = 19 + 2x + 10x Combine like terms: -10x + 10x = 0 69r + 0 = 19 + 2x + 10x 69r = 19 + 2x + 10x Combine like terms: 2x + 10x = 12x 69r = 19 + 12x Divide each side by '69'. r = 0.2753623188 + 0.1739130435x Simplifying r = 0.2753623188 + 0.1739130435x
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