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Simplifying 30 + 8r = -6(7r + 5) Reorder the terms: 30 + 8r = -6(5 + 7r) 30 + 8r = (5 * -6 + 7r * -6) 30 + 8r = (-30 + -42r) Solving 30 + 8r = -30 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. 30 + 8r + 42r = -30 + -42r + 42r Combine like terms: 8r + 42r = 50r 30 + 50r = -30 + -42r + 42r Combine like terms: -42r + 42r = 0 30 + 50r = -30 + 0 30 + 50r = -30 Add '-30' to each side of the equation. 30 + -30 + 50r = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 50r = -30 + -30 50r = -30 + -30 Combine like terms: -30 + -30 = -60 50r = -60 Divide each side by '50'. r = -1.2 Simplifying r = -1.2
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