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Simplifying 6r + -4(r + 8) = -14 + -1r Reorder the terms: 6r + -4(8 + r) = -14 + -1r 6r + (8 * -4 + r * -4) = -14 + -1r 6r + (-32 + -4r) = -14 + -1r Reorder the terms: -32 + 6r + -4r = -14 + -1r Combine like terms: 6r + -4r = 2r -32 + 2r = -14 + -1r Solving -32 + 2r = -14 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -32 + 2r + r = -14 + -1r + r Combine like terms: 2r + r = 3r -32 + 3r = -14 + -1r + r Combine like terms: -1r + r = 0 -32 + 3r = -14 + 0 -32 + 3r = -14 Add '32' to each side of the equation. -32 + 32 + 3r = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 3r = -14 + 32 3r = -14 + 32 Combine like terms: -14 + 32 = 18 3r = 18 Divide each side by '3'. r = 6 Simplifying r = 6
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