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Simplifying -8(r + 9) + -7 = 9 Reorder the terms: -8(9 + r) + -7 = 9 (9 * -8 + r * -8) + -7 = 9 (-72 + -8r) + -7 = 9 Reorder the terms: -72 + -7 + -8r = 9 Combine like terms: -72 + -7 = -79 -79 + -8r = 9 Solving -79 + -8r = 9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + -8r = 9 + 79 Combine like terms: -79 + 79 = 0 0 + -8r = 9 + 79 -8r = 9 + 79 Combine like terms: 9 + 79 = 88 -8r = 88 Divide each side by '-8'. r = -11 Simplifying r = -11
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