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Simplifying 7 + 5(1 + 7r) = -30 + -7r 7 + (1 * 5 + 7r * 5) = -30 + -7r 7 + (5 + 35r) = -30 + -7r Combine like terms: 7 + 5 = 12 12 + 35r = -30 + -7r Solving 12 + 35r = -30 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 12 + 35r + 7r = -30 + -7r + 7r Combine like terms: 35r + 7r = 42r 12 + 42r = -30 + -7r + 7r Combine like terms: -7r + 7r = 0 12 + 42r = -30 + 0 12 + 42r = -30 Add '-12' to each side of the equation. 12 + -12 + 42r = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 42r = -30 + -12 42r = -30 + -12 Combine like terms: -30 + -12 = -42 42r = -42 Divide each side by '42'. r = -1 Simplifying r = -1
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