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Simplifying -8r + 27 = -4(-7 + -1r) + -1 Reorder the terms: 27 + -8r = -4(-7 + -1r) + -1 27 + -8r = (-7 * -4 + -1r * -4) + -1 27 + -8r = (28 + 4r) + -1 Reorder the terms: 27 + -8r = 28 + -1 + 4r Combine like terms: 28 + -1 = 27 27 + -8r = 27 + 4r Add '-27' to each side of the equation. 27 + -27 + -8r = 27 + -27 + 4r Combine like terms: 27 + -27 = 0 0 + -8r = 27 + -27 + 4r -8r = 27 + -27 + 4r Combine like terms: 27 + -27 = 0 -8r = 0 + 4r -8r = 4r Solving -8r = 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. -8r + -4r = 4r + -4r Combine like terms: -8r + -4r = -12r -12r = 4r + -4r Combine like terms: 4r + -4r = 0 -12r = 0 Divide each side by '-12'. r = 0 Simplifying r = 0
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