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Simplifying 23 + -5r = -6(r + -3) Reorder the terms: 23 + -5r = -6(-3 + r) 23 + -5r = (-3 * -6 + r * -6) 23 + -5r = (18 + -6r) Solving 23 + -5r = 18 + -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. 23 + -5r + 6r = 18 + -6r + 6r Combine like terms: -5r + 6r = 1r 23 + 1r = 18 + -6r + 6r Combine like terms: -6r + 6r = 0 23 + 1r = 18 + 0 23 + 1r = 18 Add '-23' to each side of the equation. 23 + -23 + 1r = 18 + -23 Combine like terms: 23 + -23 = 0 0 + 1r = 18 + -23 1r = 18 + -23 Combine like terms: 18 + -23 = -5 1r = -5 Divide each side by '1'. r = -5 Simplifying r = -5
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