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Simplifying -3(r + -5) = -3(7r + -5) + 7r Reorder the terms: -3(-5 + r) = -3(7r + -5) + 7r (-5 * -3 + r * -3) = -3(7r + -5) + 7r (15 + -3r) = -3(7r + -5) + 7r Reorder the terms: 15 + -3r = -3(-5 + 7r) + 7r 15 + -3r = (-5 * -3 + 7r * -3) + 7r 15 + -3r = (15 + -21r) + 7r Combine like terms: -21r + 7r = -14r 15 + -3r = 15 + -14r Add '-15' to each side of the equation. 15 + -15 + -3r = 15 + -15 + -14r Combine like terms: 15 + -15 = 0 0 + -3r = 15 + -15 + -14r -3r = 15 + -15 + -14r Combine like terms: 15 + -15 = 0 -3r = 0 + -14r -3r = -14r Solving -3r = -14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14r' to each side of the equation. -3r + 14r = -14r + 14r Combine like terms: -3r + 14r = 11r 11r = -14r + 14r Combine like terms: -14r + 14r = 0 11r = 0 Divide each side by '11'. r = 0 Simplifying r = 0
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