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Simplifying 4x + -12 + -1r + 2x = 15x + -35 Reorder the terms: -12 + -1r + 4x + 2x = 15x + -35 Combine like terms: 4x + 2x = 6x -12 + -1r + 6x = 15x + -35 Reorder the terms: -12 + -1r + 6x = -35 + 15x Solving -12 + -1r + 6x = -35 + 15x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1r + 12 + 6x = -35 + 12 + 15x Reorder the terms: -12 + 12 + -1r + 6x = -35 + 12 + 15x Combine like terms: -12 + 12 = 0 0 + -1r + 6x = -35 + 12 + 15x -1r + 6x = -35 + 12 + 15x Combine like terms: -35 + 12 = -23 -1r + 6x = -23 + 15x Add '-6x' to each side of the equation. -1r + 6x + -6x = -23 + 15x + -6x Combine like terms: 6x + -6x = 0 -1r + 0 = -23 + 15x + -6x -1r = -23 + 15x + -6x Combine like terms: 15x + -6x = 9x -1r = -23 + 9x Divide each side by '-1'. r = 23 + -9x Simplifying r = 23 + -9x
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