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Simplifying -7(1 + r) + 5r = 5 (1 * -7 + r * -7) + 5r = 5 (-7 + -7r) + 5r = 5 Combine like terms: -7r + 5r = -2r -7 + -2r = 5 Solving -7 + -2r = 5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2r = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2r = 5 + 7 -2r = 5 + 7 Combine like terms: 5 + 7 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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