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Simplifying -83 = -2(7r + 4) + -1r Reorder the terms: -83 = -2(4 + 7r) + -1r -83 = (4 * -2 + 7r * -2) + -1r -83 = (-8 + -14r) + -1r Combine like terms: -14r + -1r = -15r -83 = -8 + -15r Solving -83 = -8 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -83 + 15r = -8 + -15r + 15r Combine like terms: -15r + 15r = 0 -83 + 15r = -8 + 0 -83 + 15r = -8 Add '83' to each side of the equation. -83 + 83 + 15r = -8 + 83 Combine like terms: -83 + 83 = 0 0 + 15r = -8 + 83 15r = -8 + 83 Combine like terms: -8 + 83 = 75 15r = 75 Divide each side by '15'. r = 5 Simplifying r = 5
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