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Simplifying 24r + -2(3r + -7) = 2r + 2 Reorder the terms: 24r + -2(-7 + 3r) = 2r + 2 24r + (-7 * -2 + 3r * -2) = 2r + 2 24r + (14 + -6r) = 2r + 2 Reorder the terms: 14 + 24r + -6r = 2r + 2 Combine like terms: 24r + -6r = 18r 14 + 18r = 2r + 2 Reorder the terms: 14 + 18r = 2 + 2r Solving 14 + 18r = 2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 14 + 18r + -2r = 2 + 2r + -2r Combine like terms: 18r + -2r = 16r 14 + 16r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 14 + 16r = 2 + 0 14 + 16r = 2 Add '-14' to each side of the equation. 14 + -14 + 16r = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 16r = 2 + -14 16r = 2 + -14 Combine like terms: 2 + -14 = -12 16r = -12 Divide each side by '16'. r = -0.75 Simplifying r = -0.75
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