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Simplifying 7(-3 + 6r) + 6 = -141 (-3 * 7 + 6r * 7) + 6 = -141 (-21 + 42r) + 6 = -141 Reorder the terms: -21 + 6 + 42r = -141 Combine like terms: -21 + 6 = -15 -15 + 42r = -141 Solving -15 + 42r = -141 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 42r = -141 + 15 Combine like terms: -15 + 15 = 0 0 + 42r = -141 + 15 42r = -141 + 15 Combine like terms: -141 + 15 = -126 42r = -126 Divide each side by '42'. r = -3 Simplifying r = -3
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