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Simplifying -7(-7r + 12) = 2(9r + -11) Reorder the terms: -7(12 + -7r) = 2(9r + -11) (12 * -7 + -7r * -7) = 2(9r + -11) (-84 + 49r) = 2(9r + -11) Reorder the terms: -84 + 49r = 2(-11 + 9r) -84 + 49r = (-11 * 2 + 9r * 2) -84 + 49r = (-22 + 18r) Solving -84 + 49r = -22 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. -84 + 49r + -18r = -22 + 18r + -18r Combine like terms: 49r + -18r = 31r -84 + 31r = -22 + 18r + -18r Combine like terms: 18r + -18r = 0 -84 + 31r = -22 + 0 -84 + 31r = -22 Add '84' to each side of the equation. -84 + 84 + 31r = -22 + 84 Combine like terms: -84 + 84 = 0 0 + 31r = -22 + 84 31r = -22 + 84 Combine like terms: -22 + 84 = 62 31r = 62 Divide each side by '31'. r = 2 Simplifying r = 2
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