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Simplifying 3r + -5 + -5r = 7 + 5r + -12 + -6r Reorder the terms: -5 + 3r + -5r = 7 + 5r + -12 + -6r Combine like terms: 3r + -5r = -2r -5 + -2r = 7 + 5r + -12 + -6r Reorder the terms: -5 + -2r = 7 + -12 + 5r + -6r Combine like terms: 7 + -12 = -5 -5 + -2r = -5 + 5r + -6r Combine like terms: 5r + -6r = -1r -5 + -2r = -5 + -1r Add '5' to each side of the equation. -5 + 5 + -2r = -5 + 5 + -1r Combine like terms: -5 + 5 = 0 0 + -2r = -5 + 5 + -1r -2r = -5 + 5 + -1r Combine like terms: -5 + 5 = 0 -2r = 0 + -1r -2r = -1r Solving -2r = -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -2r + r = -1r + r Combine like terms: -2r + r = -1r -1r = -1r + r Combine like terms: -1r + r = 0 -1r = 0 Divide each side by '-1'. r = 0 Simplifying r = 0
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