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Simplifying 9r + -7 = 15r + -1(4r + 23) Reorder the terms: -7 + 9r = 15r + -1(4r + 23) Reorder the terms: -7 + 9r = 15r + -1(23 + 4r) -7 + 9r = 15r + (23 * -1 + 4r * -1) -7 + 9r = 15r + (-23 + -4r) Reorder the terms: -7 + 9r = -23 + 15r + -4r Combine like terms: 15r + -4r = 11r -7 + 9r = -23 + 11r Solving -7 + 9r = -23 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -7 + 9r + -11r = -23 + 11r + -11r Combine like terms: 9r + -11r = -2r -7 + -2r = -23 + 11r + -11r Combine like terms: 11r + -11r = 0 -7 + -2r = -23 + 0 -7 + -2r = -23 Add '7' to each side of the equation. -7 + 7 + -2r = -23 + 7 Combine like terms: -7 + 7 = 0 0 + -2r = -23 + 7 -2r = -23 + 7 Combine like terms: -23 + 7 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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