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Simplifying 8 + -4r = 10 + -6(r + 2) Reorder the terms: 8 + -4r = 10 + -6(2 + r) 8 + -4r = 10 + (2 * -6 + r * -6) 8 + -4r = 10 + (-12 + -6r) Combine like terms: 10 + -12 = -2 8 + -4r = -2 + -6r Solving 8 + -4r = -2 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 8 + -4r + 6r = -2 + -6r + 6r Combine like terms: -4r + 6r = 2r 8 + 2r = -2 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + 2r = -2 + 0 8 + 2r = -2 Add '-8' to each side of the equation. 8 + -8 + 2r = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = -2 + -8 2r = -2 + -8 Combine like terms: -2 + -8 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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