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Simplifying -7(r + 5) + 5 = -30 + r Reorder the terms: -7(5 + r) + 5 = -30 + r (5 * -7 + r * -7) + 5 = -30 + r (-35 + -7r) + 5 = -30 + r Reorder the terms: -35 + 5 + -7r = -30 + r Combine like terms: -35 + 5 = -30 -30 + -7r = -30 + r Add '30' to each side of the equation. -30 + 30 + -7r = -30 + 30 + r Combine like terms: -30 + 30 = 0 0 + -7r = -30 + 30 + r -7r = -30 + 30 + r Combine like terms: -30 + 30 = 0 -7r = 0 + r -7r = r Solving -7r = r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -7r + -1r = r + -1r Combine like terms: -7r + -1r = -8r -8r = r + -1r Combine like terms: r + -1r = 0 -8r = 0 Divide each side by '-8'. r = 0 Simplifying r = 0
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