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Simplifying -7(6 + -4r) + 4(2r + -5) = 0 (6 * -7 + -4r * -7) + 4(2r + -5) = 0 (-42 + 28r) + 4(2r + -5) = 0 Reorder the terms: -42 + 28r + 4(-5 + 2r) = 0 -42 + 28r + (-5 * 4 + 2r * 4) = 0 -42 + 28r + (-20 + 8r) = 0 Reorder the terms: -42 + -20 + 28r + 8r = 0 Combine like terms: -42 + -20 = -62 -62 + 28r + 8r = 0 Combine like terms: 28r + 8r = 36r -62 + 36r = 0 Solving -62 + 36r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 36r = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 36r = 0 + 62 36r = 0 + 62 Combine like terms: 0 + 62 = 62 36r = 62 Divide each side by '36'. r = 1.722222222 Simplifying r = 1.722222222
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