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Simplifying (27 + -1r) = (-3(r + 4) + 7) Remove parenthesis around (27 + -1r) 27 + -1r = (-3(r + 4) + 7) Reorder the terms: 27 + -1r = (-3(4 + r) + 7) 27 + -1r = ((4 * -3 + r * -3) + 7) 27 + -1r = ((-12 + -3r) + 7) Reorder the terms: 27 + -1r = (-12 + 7 + -3r) Combine like terms: -12 + 7 = -5 27 + -1r = (-5 + -3r) Remove parenthesis around (-5 + -3r) 27 + -1r = -5 + -3r Solving 27 + -1r = -5 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 27 + -1r + 3r = -5 + -3r + 3r Combine like terms: -1r + 3r = 2r 27 + 2r = -5 + -3r + 3r Combine like terms: -3r + 3r = 0 27 + 2r = -5 + 0 27 + 2r = -5 Add '-27' to each side of the equation. 27 + -27 + 2r = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 2r = -5 + -27 2r = -5 + -27 Combine like terms: -5 + -27 = -32 2r = -32 Divide each side by '2'. r = -16 Simplifying r = -16
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