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Simplifying 5 + -12(r + 2) = -1(r + 4) + 7 Reorder the terms: 5 + -12(2 + r) = -1(r + 4) + 7 5 + (2 * -12 + r * -12) = -1(r + 4) + 7 5 + (-24 + -12r) = -1(r + 4) + 7 Combine like terms: 5 + -24 = -19 -19 + -12r = -1(r + 4) + 7 Reorder the terms: -19 + -12r = -1(4 + r) + 7 -19 + -12r = (4 * -1 + r * -1) + 7 -19 + -12r = (-4 + -1r) + 7 Reorder the terms: -19 + -12r = -4 + 7 + -1r Combine like terms: -4 + 7 = 3 -19 + -12r = 3 + -1r Solving -19 + -12r = 3 + -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. -19 + -12r + r = 3 + -1r + r Combine like terms: -12r + r = -11r -19 + -11r = 3 + -1r + r Combine like terms: -1r + r = 0 -19 + -11r = 3 + 0 -19 + -11r = 3 Add '19' to each side of the equation. -19 + 19 + -11r = 3 + 19 Combine like terms: -19 + 19 = 0 0 + -11r = 3 + 19 -11r = 3 + 19 Combine like terms: 3 + 19 = 22 -11r = 22 Divide each side by '-11'. r = -2 Simplifying r = -2
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