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Simplifying 7(3 + 2r) + -3 = r + -21 (3 * 7 + 2r * 7) + -3 = r + -21 (21 + 14r) + -3 = r + -21 Reorder the terms: 21 + -3 + 14r = r + -21 Combine like terms: 21 + -3 = 18 18 + 14r = r + -21 Reorder the terms: 18 + 14r = -21 + r Solving 18 + 14r = -21 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 18 + 14r + -1r = -21 + r + -1r Combine like terms: 14r + -1r = 13r 18 + 13r = -21 + r + -1r Combine like terms: r + -1r = 0 18 + 13r = -21 + 0 18 + 13r = -21 Add '-18' to each side of the equation. 18 + -18 + 13r = -21 + -18 Combine like terms: 18 + -18 = 0 0 + 13r = -21 + -18 13r = -21 + -18 Combine like terms: -21 + -18 = -39 13r = -39 Divide each side by '13'. r = -3 Simplifying r = -3
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