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Simplifying -3r + -30 = -6 + -5r + -10 Reorder the terms: -30 + -3r = -6 + -5r + -10 Reorder the terms: -30 + -3r = -6 + -10 + -5r Combine like terms: -6 + -10 = -16 -30 + -3r = -16 + -5r Solving -30 + -3r = -16 + -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. -30 + -3r + 5r = -16 + -5r + 5r Combine like terms: -3r + 5r = 2r -30 + 2r = -16 + -5r + 5r Combine like terms: -5r + 5r = 0 -30 + 2r = -16 + 0 -30 + 2r = -16 Add '30' to each side of the equation. -30 + 30 + 2r = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 2r = -16 + 30 2r = -16 + 30 Combine like terms: -16 + 30 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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