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Simplifying -34 + 8r = -3(-7r + 7) Reorder the terms: -34 + 8r = -3(7 + -7r) -34 + 8r = (7 * -3 + -7r * -3) -34 + 8r = (-21 + 21r) Solving -34 + 8r = -21 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -34 + 8r + -21r = -21 + 21r + -21r Combine like terms: 8r + -21r = -13r -34 + -13r = -21 + 21r + -21r Combine like terms: 21r + -21r = 0 -34 + -13r = -21 + 0 -34 + -13r = -21 Add '34' to each side of the equation. -34 + 34 + -13r = -21 + 34 Combine like terms: -34 + 34 = 0 0 + -13r = -21 + 34 -13r = -21 + 34 Combine like terms: -21 + 34 = 13 -13r = 13 Divide each side by '-13'. r = -1 Simplifying r = -1
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