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Simplifying -5(8r + -4 + -7s) = 0 Reorder the terms: -5(-4 + 8r + -7s) = 0 (-4 * -5 + 8r * -5 + -7s * -5) = 0 (20 + -40r + 35s) = 0 Solving 20 + -40r + 35s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -40r + -20 + 35s = 0 + -20 Reorder the terms: 20 + -20 + -40r + 35s = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -40r + 35s = 0 + -20 -40r + 35s = 0 + -20 Combine like terms: 0 + -20 = -20 -40r + 35s = -20 Add '-35s' to each side of the equation. -40r + 35s + -35s = -20 + -35s Combine like terms: 35s + -35s = 0 -40r + 0 = -20 + -35s -40r = -20 + -35s Divide each side by '-40'. r = 0.5 + 0.875s Simplifying r = 0.5 + 0.875s
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