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Simplifying 2 + 7r = -5(3r + 4) Reorder the terms: 2 + 7r = -5(4 + 3r) 2 + 7r = (4 * -5 + 3r * -5) 2 + 7r = (-20 + -15r) Solving 2 + 7r = -20 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 2 + 7r + 15r = -20 + -15r + 15r Combine like terms: 7r + 15r = 22r 2 + 22r = -20 + -15r + 15r Combine like terms: -15r + 15r = 0 2 + 22r = -20 + 0 2 + 22r = -20 Add '-2' to each side of the equation. 2 + -2 + 22r = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 22r = -20 + -2 22r = -20 + -2 Combine like terms: -20 + -2 = -22 22r = -22 Divide each side by '22'. r = -1 Simplifying r = -1
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