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Simplifying 47r + -35 = 56r + -53 Reorder the terms: -35 + 47r = 56r + -53 Reorder the terms: -35 + 47r = -53 + 56r Solving -35 + 47r = -53 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. -35 + 47r + -56r = -53 + 56r + -56r Combine like terms: 47r + -56r = -9r -35 + -9r = -53 + 56r + -56r Combine like terms: 56r + -56r = 0 -35 + -9r = -53 + 0 -35 + -9r = -53 Add '35' to each side of the equation. -35 + 35 + -9r = -53 + 35 Combine like terms: -35 + 35 = 0 0 + -9r = -53 + 35 -9r = -53 + 35 Combine like terms: -53 + 35 = -18 -9r = -18 Divide each side by '-9'. r = 2 Simplifying r = 2
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