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Simplifying 5 + 4(r + -4) = -23 + 8r Reorder the terms: 5 + 4(-4 + r) = -23 + 8r 5 + (-4 * 4 + r * 4) = -23 + 8r 5 + (-16 + 4r) = -23 + 8r Combine like terms: 5 + -16 = -11 -11 + 4r = -23 + 8r Solving -11 + 4r = -23 + 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. -11 + 4r + -8r = -23 + 8r + -8r Combine like terms: 4r + -8r = -4r -11 + -4r = -23 + 8r + -8r Combine like terms: 8r + -8r = 0 -11 + -4r = -23 + 0 -11 + -4r = -23 Add '11' to each side of the equation. -11 + 11 + -4r = -23 + 11 Combine like terms: -11 + 11 = 0 0 + -4r = -23 + 11 -4r = -23 + 11 Combine like terms: -23 + 11 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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