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Simplifying -4(3r + 2) = 100 Reorder the terms: -4(2 + 3r) = 100 (2 * -4 + 3r * -4) = 100 (-8 + -12r) = 100 Solving -8 + -12r = 100 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -12r = 100 + 8 Combine like terms: -8 + 8 = 0 0 + -12r = 100 + 8 -12r = 100 + 8 Combine like terms: 100 + 8 = 108 -12r = 108 Divide each side by '-12'. r = -9 Simplifying r = -9
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