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Simplifying 4(r + 3) + -3z = 0 Reorder the terms: 4(3 + r) + -3z = 0 (3 * 4 + r * 4) + -3z = 0 (12 + 4r) + -3z = 0 Solving 12 + 4r + -3z = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4r + -12 + -3z = 0 + -12 Reorder the terms: 12 + -12 + 4r + -3z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4r + -3z = 0 + -12 4r + -3z = 0 + -12 Combine like terms: 0 + -12 = -12 4r + -3z = -12 Add '3z' to each side of the equation. 4r + -3z + 3z = -12 + 3z Combine like terms: -3z + 3z = 0 4r + 0 = -12 + 3z 4r = -12 + 3z Divide each side by '4'. r = -3 + 0.75z Simplifying r = -3 + 0.75z
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