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Simplifying -27 + 4r = 3[4r + -1] Reorder the terms: -27 + 4r = 3[-1 + 4r] -27 + 4r = [-1 * 3 + 4r * 3] -27 + 4r = [-3 + 12r] Solving -27 + 4r = -3 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -27 + 4r + -12r = -3 + 12r + -12r Combine like terms: 4r + -12r = -8r -27 + -8r = -3 + 12r + -12r Combine like terms: 12r + -12r = 0 -27 + -8r = -3 + 0 -27 + -8r = -3 Add '27' to each side of the equation. -27 + 27 + -8r = -3 + 27 Combine like terms: -27 + 27 = 0 0 + -8r = -3 + 27 -8r = -3 + 27 Combine like terms: -3 + 27 = 24 -8r = 24 Divide each side by '-8'. r = -3 Simplifying r = -3
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