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Simplifying -4(7r + 2) = 34 + -7r Reorder the terms: -4(2 + 7r) = 34 + -7r (2 * -4 + 7r * -4) = 34 + -7r (-8 + -28r) = 34 + -7r Solving -8 + -28r = 34 + -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. -8 + -28r + 7r = 34 + -7r + 7r Combine like terms: -28r + 7r = -21r -8 + -21r = 34 + -7r + 7r Combine like terms: -7r + 7r = 0 -8 + -21r = 34 + 0 -8 + -21r = 34 Add '8' to each side of the equation. -8 + 8 + -21r = 34 + 8 Combine like terms: -8 + 8 = 0 0 + -21r = 34 + 8 -21r = 34 + 8 Combine like terms: 34 + 8 = 42 -21r = 42 Divide each side by '-21'. r = -2 Simplifying r = -2
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