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Simplifying 35 + 8r = 7(2r + -1) Reorder the terms: 35 + 8r = 7(-1 + 2r) 35 + 8r = (-1 * 7 + 2r * 7) 35 + 8r = (-7 + 14r) Solving 35 + 8r = -7 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 35 + 8r + -14r = -7 + 14r + -14r Combine like terms: 8r + -14r = -6r 35 + -6r = -7 + 14r + -14r Combine like terms: 14r + -14r = 0 35 + -6r = -7 + 0 35 + -6r = -7 Add '-35' to each side of the equation. 35 + -35 + -6r = -7 + -35 Combine like terms: 35 + -35 = 0 0 + -6r = -7 + -35 -6r = -7 + -35 Combine like terms: -7 + -35 = -42 -6r = -42 Divide each side by '-6'. r = 7 Simplifying r = 7
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