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Simplifying 2 + 4(-8r + -6) = -22 + 4r Reorder the terms: 2 + 4(-6 + -8r) = -22 + 4r 2 + (-6 * 4 + -8r * 4) = -22 + 4r 2 + (-24 + -32r) = -22 + 4r Combine like terms: 2 + -24 = -22 -22 + -32r = -22 + 4r Add '22' to each side of the equation. -22 + 22 + -32r = -22 + 22 + 4r Combine like terms: -22 + 22 = 0 0 + -32r = -22 + 22 + 4r -32r = -22 + 22 + 4r Combine like terms: -22 + 22 = 0 -32r = 0 + 4r -32r = 4r Solving -32r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -32r + -4r = 4r + -4r Combine like terms: -32r + -4r = -36r -36r = 4r + -4r Combine like terms: 4r + -4r = 0 -36r = 0 Divide each side by '-36'. r = 0 Simplifying r = 0
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