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Simplifying -84 = 3(-3r + -4) Reorder the terms: -84 = 3(-4 + -3r) -84 = (-4 * 3 + -3r * 3) -84 = (-12 + -9r) Solving -84 = -12 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -84 + 9r = -12 + -9r + 9r Combine like terms: -9r + 9r = 0 -84 + 9r = -12 + 0 -84 + 9r = -12 Add '84' to each side of the equation. -84 + 84 + 9r = -12 + 84 Combine like terms: -84 + 84 = 0 0 + 9r = -12 + 84 9r = -12 + 84 Combine like terms: -12 + 84 = 72 9r = 72 Divide each side by '9'. r = 8 Simplifying r = 8
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