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Simplifying 8(1 + 8r) + 7(7 + -7r) = 0 (1 * 8 + 8r * 8) + 7(7 + -7r) = 0 (8 + 64r) + 7(7 + -7r) = 0 8 + 64r + (7 * 7 + -7r * 7) = 0 8 + 64r + (49 + -49r) = 0 Reorder the terms: 8 + 49 + 64r + -49r = 0 Combine like terms: 8 + 49 = 57 57 + 64r + -49r = 0 Combine like terms: 64r + -49r = 15r 57 + 15r = 0 Solving 57 + 15r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 15r = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 15r = 0 + -57 15r = 0 + -57 Combine like terms: 0 + -57 = -57 15r = -57 Divide each side by '15'. r = -3.8 Simplifying r = -3.8
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