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Simplifying -254 = -4(8 + -7r) + 2 -254 = (8 * -4 + -7r * -4) + 2 -254 = (-32 + 28r) + 2 Reorder the terms: -254 = -32 + 2 + 28r Combine like terms: -32 + 2 = -30 -254 = -30 + 28r Solving -254 = -30 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. -254 + -28r = -30 + 28r + -28r Combine like terms: 28r + -28r = 0 -254 + -28r = -30 + 0 -254 + -28r = -30 Add '254' to each side of the equation. -254 + 254 + -28r = -30 + 254 Combine like terms: -254 + 254 = 0 0 + -28r = -30 + 254 -28r = -30 + 254 Combine like terms: -30 + 254 = 224 -28r = 224 Divide each side by '-28'. r = -8 Simplifying r = -8
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