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Simplifying 2(r + -6) + 4 = r + -4(r + 2) Reorder the terms: 2(-6 + r) + 4 = r + -4(r + 2) (-6 * 2 + r * 2) + 4 = r + -4(r + 2) (-12 + 2r) + 4 = r + -4(r + 2) Reorder the terms: -12 + 4 + 2r = r + -4(r + 2) Combine like terms: -12 + 4 = -8 -8 + 2r = r + -4(r + 2) Reorder the terms: -8 + 2r = r + -4(2 + r) -8 + 2r = r + (2 * -4 + r * -4) -8 + 2r = r + (-8 + -4r) Reorder the terms: -8 + 2r = -8 + r + -4r Combine like terms: r + -4r = -3r -8 + 2r = -8 + -3r Add '8' to each side of the equation. -8 + 8 + 2r = -8 + 8 + -3r Combine like terms: -8 + 8 = 0 0 + 2r = -8 + 8 + -3r 2r = -8 + 8 + -3r Combine like terms: -8 + 8 = 0 2r = 0 + -3r 2r = -3r Solving 2r = -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 2r + 3r = -3r + 3r Combine like terms: 2r + 3r = 5r 5r = -3r + 3r Combine like terms: -3r + 3r = 0 5r = 0 Divide each side by '5'. r = 0 Simplifying r = 0
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