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Simplifying 4x + -2(1 + -1x) = 2(3x + -2r) 4x + (1 * -2 + -1x * -2) = 2(3x + -2r) 4x + (-2 + 2x) = 2(3x + -2r) Reorder the terms: -2 + 4x + 2x = 2(3x + -2r) Combine like terms: 4x + 2x = 6x -2 + 6x = 2(3x + -2r) Reorder the terms: -2 + 6x = 2(-2r + 3x) -2 + 6x = (-2r * 2 + 3x * 2) -2 + 6x = (-4r + 6x) Add '-6x' to each side of the equation. -2 + 6x + -6x = -4r + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 0 = -4r + 6x + -6x -2 = -4r + 6x + -6x Combine like terms: 6x + -6x = 0 -2 = -4r + 0 -2 = -4r Solving -2 = -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -2 + 4r = -4r + 4r Combine like terms: -4r + 4r = 0 -2 + 4r = 0 Add '2' to each side of the equation. -2 + 2 + 4r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4r = 0 + 2 4r = 0 + 2 Combine like terms: 0 + 2 = 2 4r = 2 Divide each side by '4'. r = 0.5 Simplifying r = 0.5
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