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Simplifying 5(12 + -1r) = -4(r + -11) (12 * 5 + -1r * 5) = -4(r + -11) (60 + -5r) = -4(r + -11) Reorder the terms: 60 + -5r = -4(-11 + r) 60 + -5r = (-11 * -4 + r * -4) 60 + -5r = (44 + -4r) Solving 60 + -5r = 44 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 60 + -5r + 4r = 44 + -4r + 4r Combine like terms: -5r + 4r = -1r 60 + -1r = 44 + -4r + 4r Combine like terms: -4r + 4r = 0 60 + -1r = 44 + 0 60 + -1r = 44 Add '-60' to each side of the equation. 60 + -60 + -1r = 44 + -60 Combine like terms: 60 + -60 = 0 0 + -1r = 44 + -60 -1r = 44 + -60 Combine like terms: 44 + -60 = -16 -1r = -16 Divide each side by '-1'. r = 16 Simplifying r = 16
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