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Simplifying 1 + 7(-7 + -1r) = -11r + -2(r + 12) 1 + (-7 * 7 + -1r * 7) = -11r + -2(r + 12) 1 + (-49 + -7r) = -11r + -2(r + 12) Combine like terms: 1 + -49 = -48 -48 + -7r = -11r + -2(r + 12) Reorder the terms: -48 + -7r = -11r + -2(12 + r) -48 + -7r = -11r + (12 * -2 + r * -2) -48 + -7r = -11r + (-24 + -2r) Reorder the terms: -48 + -7r = -24 + -11r + -2r Combine like terms: -11r + -2r = -13r -48 + -7r = -24 + -13r Solving -48 + -7r = -24 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. -48 + -7r + 13r = -24 + -13r + 13r Combine like terms: -7r + 13r = 6r -48 + 6r = -24 + -13r + 13r Combine like terms: -13r + 13r = 0 -48 + 6r = -24 + 0 -48 + 6r = -24 Add '48' to each side of the equation. -48 + 48 + 6r = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 6r = -24 + 48 6r = -24 + 48 Combine like terms: -24 + 48 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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