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Simplifying 200 = -4(8r + 6) Reorder the terms: 200 = -4(6 + 8r) 200 = (6 * -4 + 8r * -4) 200 = (-24 + -32r) Solving 200 = -24 + -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. 200 + 32r = -24 + -32r + 32r Combine like terms: -32r + 32r = 0 200 + 32r = -24 + 0 200 + 32r = -24 Add '-200' to each side of the equation. 200 + -200 + 32r = -24 + -200 Combine like terms: 200 + -200 = 0 0 + 32r = -24 + -200 32r = -24 + -200 Combine like terms: -24 + -200 = -224 32r = -224 Divide each side by '32'. r = -7 Simplifying r = -7
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