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Simplifying -7(1 + 4r) = -27 + -8r (1 * -7 + 4r * -7) = -27 + -8r (-7 + -28r) = -27 + -8r Solving -7 + -28r = -27 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -7 + -28r + 8r = -27 + -8r + 8r Combine like terms: -28r + 8r = -20r -7 + -20r = -27 + -8r + 8r Combine like terms: -8r + 8r = 0 -7 + -20r = -27 + 0 -7 + -20r = -27 Add '7' to each side of the equation. -7 + 7 + -20r = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -20r = -27 + 7 -20r = -27 + 7 Combine like terms: -27 + 7 = -20 -20r = -20 Divide each side by '-20'. r = 1 Simplifying r = 1
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