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Simplifying 4r + -2(6r + -7) = -6r + 24 Reorder the terms: 4r + -2(-7 + 6r) = -6r + 24 4r + (-7 * -2 + 6r * -2) = -6r + 24 4r + (14 + -12r) = -6r + 24 Reorder the terms: 14 + 4r + -12r = -6r + 24 Combine like terms: 4r + -12r = -8r 14 + -8r = -6r + 24 Reorder the terms: 14 + -8r = 24 + -6r Solving 14 + -8r = 24 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 14 + -8r + 6r = 24 + -6r + 6r Combine like terms: -8r + 6r = -2r 14 + -2r = 24 + -6r + 6r Combine like terms: -6r + 6r = 0 14 + -2r = 24 + 0 14 + -2r = 24 Add '-14' to each side of the equation. 14 + -14 + -2r = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -2r = 24 + -14 -2r = 24 + -14 Combine like terms: 24 + -14 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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