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Simplifying 2 + -6(r + -6) = 2 + 6(r + -2) Reorder the terms: 2 + -6(-6 + r) = 2 + 6(r + -2) 2 + (-6 * -6 + r * -6) = 2 + 6(r + -2) 2 + (36 + -6r) = 2 + 6(r + -2) Combine like terms: 2 + 36 = 38 38 + -6r = 2 + 6(r + -2) Reorder the terms: 38 + -6r = 2 + 6(-2 + r) 38 + -6r = 2 + (-2 * 6 + r * 6) 38 + -6r = 2 + (-12 + 6r) Combine like terms: 2 + -12 = -10 38 + -6r = -10 + 6r Solving 38 + -6r = -10 + 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. 38 + -6r + -6r = -10 + 6r + -6r Combine like terms: -6r + -6r = -12r 38 + -12r = -10 + 6r + -6r Combine like terms: 6r + -6r = 0 38 + -12r = -10 + 0 38 + -12r = -10 Add '-38' to each side of the equation. 38 + -38 + -12r = -10 + -38 Combine like terms: 38 + -38 = 0 0 + -12r = -10 + -38 -12r = -10 + -38 Combine like terms: -10 + -38 = -48 -12r = -48 Divide each side by '-12'. r = 4 Simplifying r = 4
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