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Simplifying 3(2x + -2) + -1r + 3x = 0 Reorder the terms: 3(-2 + 2x) + -1r + 3x = 0 (-2 * 3 + 2x * 3) + -1r + 3x = 0 (-6 + 6x) + -1r + 3x = 0 Reorder the terms: -6 + -1r + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x -6 + -1r + 9x = 0 Solving -6 + -1r + 9x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1r + 6 + 9x = 0 + 6 Reorder the terms: -6 + 6 + -1r + 9x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1r + 9x = 0 + 6 -1r + 9x = 0 + 6 Combine like terms: 0 + 6 = 6 -1r + 9x = 6 Add '-9x' to each side of the equation. -1r + 9x + -9x = 6 + -9x Combine like terms: 9x + -9x = 0 -1r + 0 = 6 + -9x -1r = 6 + -9x Divide each side by '-1'. r = -6 + 9x Simplifying r = -6 + 9x
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