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Simplifying (r + -7) + -1(r + 6) = 9r Reorder the terms: (-7 + r) + -1(r + 6) = 9r Remove parenthesis around (-7 + r) -7 + r + -1(r + 6) = 9r Reorder the terms: -7 + r + -1(6 + r) = 9r -7 + r + (6 * -1 + r * -1) = 9r -7 + r + (-6 + -1r) = 9r Reorder the terms: -7 + -6 + r + -1r = 9r Combine like terms: -7 + -6 = -13 -13 + r + -1r = 9r Combine like terms: r + -1r = 0 -13 + 0 = 9r -13 = 9r Solving -13 = 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -13 + -9r = 9r + -9r Combine like terms: 9r + -9r = 0 -13 + -9r = 0 Add '13' to each side of the equation. -13 + 13 + -9r = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -9r = 0 + 13 -9r = 0 + 13 Combine like terms: 0 + 13 = 13 -9r = 13 Divide each side by '-9'. r = -1.444444444 Simplifying r = -1.444444444
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