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Simplifying -5(8r + 8) + 7(4r + 2) = 0 Reorder the terms: -5(8 + 8r) + 7(4r + 2) = 0 (8 * -5 + 8r * -5) + 7(4r + 2) = 0 (-40 + -40r) + 7(4r + 2) = 0 Reorder the terms: -40 + -40r + 7(2 + 4r) = 0 -40 + -40r + (2 * 7 + 4r * 7) = 0 -40 + -40r + (14 + 28r) = 0 Reorder the terms: -40 + 14 + -40r + 28r = 0 Combine like terms: -40 + 14 = -26 -26 + -40r + 28r = 0 Combine like terms: -40r + 28r = -12r -26 + -12r = 0 Solving -26 + -12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -12r = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -12r = 0 + 26 -12r = 0 + 26 Combine like terms: 0 + 26 = 26 -12r = 26 Divide each side by '-12'. r = -2.166666667 Simplifying r = -2.166666667
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