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Simplifying 2(8r + -7) + -3(r + -1) = 0 Reorder the terms: 2(-7 + 8r) + -3(r + -1) = 0 (-7 * 2 + 8r * 2) + -3(r + -1) = 0 (-14 + 16r) + -3(r + -1) = 0 Reorder the terms: -14 + 16r + -3(-1 + r) = 0 -14 + 16r + (-1 * -3 + r * -3) = 0 -14 + 16r + (3 + -3r) = 0 Reorder the terms: -14 + 3 + 16r + -3r = 0 Combine like terms: -14 + 3 = -11 -11 + 16r + -3r = 0 Combine like terms: 16r + -3r = 13r -11 + 13r = 0 Solving -11 + 13r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 13r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 13r = 0 + 11 13r = 0 + 11 Combine like terms: 0 + 11 = 11 13r = 11 Divide each side by '13'. r = 0.8461538462 Simplifying r = 0.8461538462
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