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Simplifying 2r + -2 = -7(8 + r) Reorder the terms: -2 + 2r = -7(8 + r) -2 + 2r = (8 * -7 + r * -7) -2 + 2r = (-56 + -7r) Solving -2 + 2r = -56 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -2 + 2r + 7r = -56 + -7r + 7r Combine like terms: 2r + 7r = 9r -2 + 9r = -56 + -7r + 7r Combine like terms: -7r + 7r = 0 -2 + 9r = -56 + 0 -2 + 9r = -56 Add '2' to each side of the equation. -2 + 2 + 9r = -56 + 2 Combine like terms: -2 + 2 = 0 0 + 9r = -56 + 2 9r = -56 + 2 Combine like terms: -56 + 2 = -54 9r = -54 Divide each side by '9'. r = -6 Simplifying r = -6
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