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Simplifying 4(3r + z) + -3r = -10 (3r * 4 + z * 4) + -3r = -10 (12r + 4z) + -3r = -10 Reorder the terms: 12r + -3r + 4z = -10 Combine like terms: 12r + -3r = 9r 9r + 4z = -10 Solving 9r + 4z = -10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4z' to each side of the equation. 9r + 4z + -4z = -10 + -4z Combine like terms: 4z + -4z = 0 9r + 0 = -10 + -4z 9r = -10 + -4z Divide each side by '9'. r = -1.111111111 + -0.4444444444z Simplifying r = -1.111111111 + -0.4444444444z
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