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Simplifying -6 + 7(5 + 7r * 2) + 10r * 2 = 0 Reorder the terms for easier multiplication: -6 + 7(5 + 7 * 2r) + 10r * 2 = 0 Multiply 7 * 2 -6 + 7(5 + 14r) + 10r * 2 = 0 -6 + (5 * 7 + 14r * 7) + 10r * 2 = 0 -6 + (35 + 98r) + 10r * 2 = 0 Reorder the terms for easier multiplication: -6 + 35 + 98r + 10 * 2r = 0 Multiply 10 * 2 -6 + 35 + 98r + 20r = 0 Combine like terms: -6 + 35 = 29 29 + 98r + 20r = 0 Combine like terms: 98r + 20r = 118r 29 + 118r = 0 Solving 29 + 118r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 118r = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 118r = 0 + -29 118r = 0 + -29 Combine like terms: 0 + -29 = -29 118r = -29 Divide each side by '118'. r = -0.2457627119 Simplifying r = -0.2457627119
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