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Simplifying -1(r + -4) + -11 = -17 Reorder the terms: -1(-4 + r) + -11 = -17 (-4 * -1 + r * -1) + -11 = -17 (4 + -1r) + -11 = -17 Reorder the terms: 4 + -11 + -1r = -17 Combine like terms: 4 + -11 = -7 -7 + -1r = -17 Solving -7 + -1r = -17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1r = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = -17 + 7 -1r = -17 + 7 Combine like terms: -17 + 7 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10
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