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Simplifying -6(1 + 8r) + -7r = 434 (1 * -6 + 8r * -6) + -7r = 434 (-6 + -48r) + -7r = 434 Combine like terms: -48r + -7r = -55r -6 + -55r = 434 Solving -6 + -55r = 434 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -55r = 434 + 6 Combine like terms: -6 + 6 = 0 0 + -55r = 434 + 6 -55r = 434 + 6 Combine like terms: 434 + 6 = 440 -55r = 440 Divide each side by '-55'. r = -8 Simplifying r = -8
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