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Simplifying -5R + -22 = -8(R + 5) Reorder the terms: -22 + -5R = -8(R + 5) Reorder the terms: -22 + -5R = -8(5 + R) -22 + -5R = (5 * -8 + R * -8) -22 + -5R = (-40 + -8R) Solving -22 + -5R = -40 + -8R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '8R' to each side of the equation. -22 + -5R + 8R = -40 + -8R + 8R Combine like terms: -5R + 8R = 3R -22 + 3R = -40 + -8R + 8R Combine like terms: -8R + 8R = 0 -22 + 3R = -40 + 0 -22 + 3R = -40 Add '22' to each side of the equation. -22 + 22 + 3R = -40 + 22 Combine like terms: -22 + 22 = 0 0 + 3R = -40 + 22 3R = -40 + 22 Combine like terms: -40 + 22 = -18 3R = -18 Divide each side by '3'. R = -6 Simplifying R = -6
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