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Simplifying -9(6r + 7) + 7(2r + 6) = 0 Reorder the terms: -9(7 + 6r) + 7(2r + 6) = 0 (7 * -9 + 6r * -9) + 7(2r + 6) = 0 (-63 + -54r) + 7(2r + 6) = 0 Reorder the terms: -63 + -54r + 7(6 + 2r) = 0 -63 + -54r + (6 * 7 + 2r * 7) = 0 -63 + -54r + (42 + 14r) = 0 Reorder the terms: -63 + 42 + -54r + 14r = 0 Combine like terms: -63 + 42 = -21 -21 + -54r + 14r = 0 Combine like terms: -54r + 14r = -40r -21 + -40r = 0 Solving -21 + -40r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -40r = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -40r = 0 + 21 -40r = 0 + 21 Combine like terms: 0 + 21 = 21 -40r = 21 Divide each side by '-40'. r = -0.525 Simplifying r = -0.525
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