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Simplifying -12 = -3(r + 15) Reorder the terms: -12 = -3(15 + r) -12 = (15 * -3 + r * -3) -12 = (-45 + -3r) Solving -12 = -45 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -12 + 3r = -45 + -3r + 3r Combine like terms: -3r + 3r = 0 -12 + 3r = -45 + 0 -12 + 3r = -45 Add '12' to each side of the equation. -12 + 12 + 3r = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 3r = -45 + 12 3r = -45 + 12 Combine like terms: -45 + 12 = -33 3r = -33 Divide each side by '3'. r = -11 Simplifying r = -11
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