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Simplifying 12(10r + -2) + -2r = 6(r + 4) Reorder the terms: 12(-2 + 10r) + -2r = 6(r + 4) (-2 * 12 + 10r * 12) + -2r = 6(r + 4) (-24 + 120r) + -2r = 6(r + 4) Combine like terms: 120r + -2r = 118r -24 + 118r = 6(r + 4) Reorder the terms: -24 + 118r = 6(4 + r) -24 + 118r = (4 * 6 + r * 6) -24 + 118r = (24 + 6r) Solving -24 + 118r = 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. -24 + 118r + -6r = 24 + 6r + -6r Combine like terms: 118r + -6r = 112r -24 + 112r = 24 + 6r + -6r Combine like terms: 6r + -6r = 0 -24 + 112r = 24 + 0 -24 + 112r = 24 Add '24' to each side of the equation. -24 + 24 + 112r = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 112r = 24 + 24 112r = 24 + 24 Combine like terms: 24 + 24 = 48 112r = 48 Divide each side by '112'. r = 0.4285714286 Simplifying r = 0.4285714286
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