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Simplifying 23 = 4(r + 7) + -5 Reorder the terms: 23 = 4(7 + r) + -5 23 = (7 * 4 + r * 4) + -5 23 = (28 + 4r) + -5 Reorder the terms: 23 = 28 + -5 + 4r Combine like terms: 28 + -5 = 23 23 = 23 + 4r Add '-23' to each side of the equation. 23 + -23 = 23 + -23 + 4r Combine like terms: 23 + -23 = 0 0 = 23 + -23 + 4r Combine like terms: 23 + -23 = 0 0 = 0 + 4r 0 = 4r Solving 0 = 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. 0 + -4r = 4r + -4r Remove the zero: -4r = 4r + -4r Combine like terms: 4r + -4r = 0 -4r = 0 Divide each side by '-4'. r = 0 Simplifying r = 0
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