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Simplifying 5 + -7r = -5(r + -3) Reorder the terms: 5 + -7r = -5(-3 + r) 5 + -7r = (-3 * -5 + r * -5) 5 + -7r = (15 + -5r) Solving 5 + -7r = 15 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 5 + -7r + 5r = 15 + -5r + 5r Combine like terms: -7r + 5r = -2r 5 + -2r = 15 + -5r + 5r Combine like terms: -5r + 5r = 0 5 + -2r = 15 + 0 5 + -2r = 15 Add '-5' to each side of the equation. 5 + -5 + -2r = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 15 + -5 -2r = 15 + -5 Combine like terms: 15 + -5 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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