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Simplifying 10 + -7r = 5(3r + 2) Reorder the terms: 10 + -7r = 5(2 + 3r) 10 + -7r = (2 * 5 + 3r * 5) 10 + -7r = (10 + 15r) Add '-10' to each side of the equation. 10 + -10 + -7r = 10 + -10 + 15r Combine like terms: 10 + -10 = 0 0 + -7r = 10 + -10 + 15r -7r = 10 + -10 + 15r Combine like terms: 10 + -10 = 0 -7r = 0 + 15r -7r = 15r Solving -7r = 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. -7r + -15r = 15r + -15r Combine like terms: -7r + -15r = -22r -22r = 15r + -15r Combine like terms: 15r + -15r = 0 -22r = 0 Divide each side by '-22'. r = 0 Simplifying r = 0
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