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Simplifying 284 = 4(7 + -8r) 284 = (7 * 4 + -8r * 4) 284 = (28 + -32r) Solving 284 = 28 + -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. 284 + 32r = 28 + -32r + 32r Combine like terms: -32r + 32r = 0 284 + 32r = 28 + 0 284 + 32r = 28 Add '-284' to each side of the equation. 284 + -284 + 32r = 28 + -284 Combine like terms: 284 + -284 = 0 0 + 32r = 28 + -284 32r = 28 + -284 Combine like terms: 28 + -284 = -256 32r = -256 Divide each side by '32'. r = -8 Simplifying r = -8
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