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Simplifying 6r + -3(-3r + 7) = -126 Reorder the terms: 6r + -3(7 + -3r) = -126 6r + (7 * -3 + -3r * -3) = -126 6r + (-21 + 9r) = -126 Reorder the terms: -21 + 6r + 9r = -126 Combine like terms: 6r + 9r = 15r -21 + 15r = -126 Solving -21 + 15r = -126 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 15r = -126 + 21 Combine like terms: -21 + 21 = 0 0 + 15r = -126 + 21 15r = -126 + 21 Combine like terms: -126 + 21 = -105 15r = -105 Divide each side by '15'. r = -7 Simplifying r = -7
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