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Simplifying 9 + -7r = -6r + -4(r + 3) Reorder the terms: 9 + -7r = -6r + -4(3 + r) 9 + -7r = -6r + (3 * -4 + r * -4) 9 + -7r = -6r + (-12 + -4r) Reorder the terms: 9 + -7r = -12 + -6r + -4r Combine like terms: -6r + -4r = -10r 9 + -7r = -12 + -10r Solving 9 + -7r = -12 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 9 + -7r + 10r = -12 + -10r + 10r Combine like terms: -7r + 10r = 3r 9 + 3r = -12 + -10r + 10r Combine like terms: -10r + 10r = 0 9 + 3r = -12 + 0 9 + 3r = -12 Add '-9' to each side of the equation. 9 + -9 + 3r = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3r = -12 + -9 3r = -12 + -9 Combine like terms: -12 + -9 = -21 3r = -21 Divide each side by '3'. r = -7 Simplifying r = -7
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