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Simplifying 8r + 55 + -5(9r + -3s) = 0 8r + 55 + (9r * -5 + -3s * -5) = 0 8r + 55 + (-45r + 15s) = 0 Reorder the terms: 55 + 8r + -45r + 15s = 0 Combine like terms: 8r + -45r = -37r 55 + -37r + 15s = 0 Solving 55 + -37r + 15s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -37r + -55 + 15s = 0 + -55 Reorder the terms: 55 + -55 + -37r + 15s = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -37r + 15s = 0 + -55 -37r + 15s = 0 + -55 Combine like terms: 0 + -55 = -55 -37r + 15s = -55 Add '-15s' to each side of the equation. -37r + 15s + -15s = -55 + -15s Combine like terms: 15s + -15s = 0 -37r + 0 = -55 + -15s -37r = -55 + -15s Divide each side by '-37'. r = 1.486486486 + 0.4054054054s Simplifying r = 1.486486486 + 0.4054054054s
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