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Simplifying -10(8r + 9) + 8r = 414 Reorder the terms: -10(9 + 8r) + 8r = 414 (9 * -10 + 8r * -10) + 8r = 414 (-90 + -80r) + 8r = 414 Combine like terms: -80r + 8r = -72r -90 + -72r = 414 Solving -90 + -72r = 414 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -72r = 414 + 90 Combine like terms: -90 + 90 = 0 0 + -72r = 414 + 90 -72r = 414 + 90 Combine like terms: 414 + 90 = 504 -72r = 504 Divide each side by '-72'. r = -7 Simplifying r = -7
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