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Simplifying 27 = -8 + 4(r + -7) Reorder the terms: 27 = -8 + 4(-7 + r) 27 = -8 + (-7 * 4 + r * 4) 27 = -8 + (-28 + 4r) Combine like terms: -8 + -28 = -36 27 = -36 + 4r Solving 27 = -36 + 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. 27 + -4r = -36 + 4r + -4r Combine like terms: 4r + -4r = 0 27 + -4r = -36 + 0 27 + -4r = -36 Add '-27' to each side of the equation. 27 + -27 + -4r = -36 + -27 Combine like terms: 27 + -27 = 0 0 + -4r = -36 + -27 -4r = -36 + -27 Combine like terms: -36 + -27 = -63 -4r = -63 Divide each side by '-4'. r = 15.75 Simplifying r = 15.75
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