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Simplifying 6(r + -1) + -5(r + 2) = -22 Reorder the terms: 6(-1 + r) + -5(r + 2) = -22 (-1 * 6 + r * 6) + -5(r + 2) = -22 (-6 + 6r) + -5(r + 2) = -22 Reorder the terms: -6 + 6r + -5(2 + r) = -22 -6 + 6r + (2 * -5 + r * -5) = -22 -6 + 6r + (-10 + -5r) = -22 Reorder the terms: -6 + -10 + 6r + -5r = -22 Combine like terms: -6 + -10 = -16 -16 + 6r + -5r = -22 Combine like terms: 6r + -5r = 1r -16 + 1r = -22 Solving -16 + 1r = -22 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1r = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 1r = -22 + 16 1r = -22 + 16 Combine like terms: -22 + 16 = -6 1r = -6 Divide each side by '1'. r = -6 Simplifying r = -6
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