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Simplifying -5r + -35 = -6(r + 6) Reorder the terms: -35 + -5r = -6(r + 6) Reorder the terms: -35 + -5r = -6(6 + r) -35 + -5r = (6 * -6 + r * -6) -35 + -5r = (-36 + -6r) Solving -35 + -5r = -36 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -35 + -5r + 6r = -36 + -6r + 6r Combine like terms: -5r + 6r = 1r -35 + 1r = -36 + -6r + 6r Combine like terms: -6r + 6r = 0 -35 + 1r = -36 + 0 -35 + 1r = -36 Add '35' to each side of the equation. -35 + 35 + 1r = -36 + 35 Combine like terms: -35 + 35 = 0 0 + 1r = -36 + 35 1r = -36 + 35 Combine like terms: -36 + 35 = -1 1r = -1 Divide each side by '1'. r = -1 Simplifying r = -1
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