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Simplifying 4(-3 + -7r) + 6 = -27 + -7 (-3 * 4 + -7r * 4) + 6 = -27 + -7 (-12 + -28r) + 6 = -27 + -7 Reorder the terms: -12 + 6 + -28r = -27 + -7 Combine like terms: -12 + 6 = -6 -6 + -28r = -27 + -7 Combine like terms: -27 + -7 = -34 -6 + -28r = -34 Solving -6 + -28r = -34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -28r = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -28r = -34 + 6 -28r = -34 + 6 Combine like terms: -34 + 6 = -28 -28r = -28 Divide each side by '-28'. r = 1 Simplifying r = 1
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