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Simplifying r + 5 + -7 = -5(r + -6) + -2(r + 8) Reorder the terms: 5 + -7 + r = -5(r + -6) + -2(r + 8) Combine like terms: 5 + -7 = -2 -2 + r = -5(r + -6) + -2(r + 8) Reorder the terms: -2 + r = -5(-6 + r) + -2(r + 8) -2 + r = (-6 * -5 + r * -5) + -2(r + 8) -2 + r = (30 + -5r) + -2(r + 8) Reorder the terms: -2 + r = 30 + -5r + -2(8 + r) -2 + r = 30 + -5r + (8 * -2 + r * -2) -2 + r = 30 + -5r + (-16 + -2r) Reorder the terms: -2 + r = 30 + -16 + -5r + -2r Combine like terms: 30 + -16 = 14 -2 + r = 14 + -5r + -2r Combine like terms: -5r + -2r = -7r -2 + r = 14 + -7r Solving -2 + r = 14 + -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 + r + 7r = 14 + -7r + 7r Combine like terms: r + 7r = 8r -2 + 8r = 14 + -7r + 7r Combine like terms: -7r + 7r = 0 -2 + 8r = 14 + 0 -2 + 8r = 14 Add '2' to each side of the equation. -2 + 2 + 8r = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8r = 14 + 2 8r = 14 + 2 Combine like terms: 14 + 2 = 16 8r = 16 Divide each side by '8'. r = 2 Simplifying r = 2
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