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Simplifying 7(3 + -1r) = -6(6 + -2r) (3 * 7 + -1r * 7) = -6(6 + -2r) (21 + -7r) = -6(6 + -2r) 21 + -7r = (6 * -6 + -2r * -6) 21 + -7r = (-36 + 12r) Solving 21 + -7r = -36 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 21 + -7r + -12r = -36 + 12r + -12r Combine like terms: -7r + -12r = -19r 21 + -19r = -36 + 12r + -12r Combine like terms: 12r + -12r = 0 21 + -19r = -36 + 0 21 + -19r = -36 Add '-21' to each side of the equation. 21 + -21 + -19r = -36 + -21 Combine like terms: 21 + -21 = 0 0 + -19r = -36 + -21 -19r = -36 + -21 Combine like terms: -36 + -21 = -57 -19r = -57 Divide each side by '-19'. r = 3 Simplifying r = 3
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