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Simplifying 14r + 16 + -3(7r + 10) = 0 Reorder the terms: 14r + 16 + -3(10 + 7r) = 0 14r + 16 + (10 * -3 + 7r * -3) = 0 14r + 16 + (-30 + -21r) = 0 Reorder the terms: 16 + -30 + 14r + -21r = 0 Combine like terms: 16 + -30 = -14 -14 + 14r + -21r = 0 Combine like terms: 14r + -21r = -7r -14 + -7r = 0 Solving -14 + -7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -7r = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7r = 0 + 14 -7r = 0 + 14 Combine like terms: 0 + 14 = 14 -7r = 14 Divide each side by '-7'. r = -2 Simplifying r = -2
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