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Simplifying -7r + -30 = 6(-5 + 5r) Reorder the terms: -30 + -7r = 6(-5 + 5r) -30 + -7r = (-5 * 6 + 5r * 6) -30 + -7r = (-30 + 30r) Add '30' to each side of the equation. -30 + 30 + -7r = -30 + 30 + 30r Combine like terms: -30 + 30 = 0 0 + -7r = -30 + 30 + 30r -7r = -30 + 30 + 30r Combine like terms: -30 + 30 = 0 -7r = 0 + 30r -7r = 30r Solving -7r = 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. -7r + -30r = 30r + -30r Combine like terms: -7r + -30r = -37r -37r = 30r + -30r Combine like terms: 30r + -30r = 0 -37r = 0 Divide each side by '-37'. r = 0 Simplifying r = 0
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