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Simplifying -4 + -5(1 + 7r) = 34 -4 + (1 * -5 + 7r * -5) = 34 -4 + (-5 + -35r) = 34 Combine like terms: -4 + -5 = -9 -9 + -35r = 34 Solving -9 + -35r = 34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -35r = 34 + 9 Combine like terms: -9 + 9 = 0 0 + -35r = 34 + 9 -35r = 34 + 9 Combine like terms: 34 + 9 = 43 -35r = 43 Divide each side by '-35'. r = -1.228571429 Simplifying r = -1.228571429
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