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Simplifying -9(7r + 8) + 6(7r + 7) = 0 Reorder the terms: -9(8 + 7r) + 6(7r + 7) = 0 (8 * -9 + 7r * -9) + 6(7r + 7) = 0 (-72 + -63r) + 6(7r + 7) = 0 Reorder the terms: -72 + -63r + 6(7 + 7r) = 0 -72 + -63r + (7 * 6 + 7r * 6) = 0 -72 + -63r + (42 + 42r) = 0 Reorder the terms: -72 + 42 + -63r + 42r = 0 Combine like terms: -72 + 42 = -30 -30 + -63r + 42r = 0 Combine like terms: -63r + 42r = -21r -30 + -21r = 0 Solving -30 + -21r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -21r = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -21r = 0 + 30 -21r = 0 + 30 Combine like terms: 0 + 30 = 30 -21r = 30 Divide each side by '-21'. r = -1.428571429 Simplifying r = -1.428571429
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