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Simplifying -7(r + 1) = 19 + -5r Reorder the terms: -7(1 + r) = 19 + -5r (1 * -7 + r * -7) = 19 + -5r (-7 + -7r) = 19 + -5r Solving -7 + -7r = 19 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -7 + -7r + 5r = 19 + -5r + 5r Combine like terms: -7r + 5r = -2r -7 + -2r = 19 + -5r + 5r Combine like terms: -5r + 5r = 0 -7 + -2r = 19 + 0 -7 + -2r = 19 Add '7' to each side of the equation. -7 + 7 + -2r = 19 + 7 Combine like terms: -7 + 7 = 0 0 + -2r = 19 + 7 -2r = 19 + 7 Combine like terms: 19 + 7 = 26 -2r = 26 Divide each side by '-2'. r = -13 Simplifying r = -13
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