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Simplifying 4r + -21 = -35 + 6r Reorder the terms: -21 + 4r = -35 + 6r Solving -21 + 4r = -35 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -21 + 4r + -6r = -35 + 6r + -6r Combine like terms: 4r + -6r = -2r -21 + -2r = -35 + 6r + -6r Combine like terms: 6r + -6r = 0 -21 + -2r = -35 + 0 -21 + -2r = -35 Add '21' to each side of the equation. -21 + 21 + -2r = -35 + 21 Combine like terms: -21 + 21 = 0 0 + -2r = -35 + 21 -2r = -35 + 21 Combine like terms: -35 + 21 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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