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Simplifying 4x + -12 + -1r + 2x = 15x + -35 + -9x Reorder the terms: -12 + -1r + 4x + 2x = 15x + -35 + -9x Combine like terms: 4x + 2x = 6x -12 + -1r + 6x = 15x + -35 + -9x Reorder the terms: -12 + -1r + 6x = -35 + 15x + -9x Combine like terms: 15x + -9x = 6x -12 + -1r + 6x = -35 + 6x Add '-6x' to each side of the equation. -12 + -1r + 6x + -6x = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1r + 0 = -35 + 6x + -6x -12 + -1r = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1r = -35 + 0 -12 + -1r = -35 Solving -12 + -1r = -35 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 + 12 + -1r = -35 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = -35 + 12 -1r = -35 + 12 Combine like terms: -35 + 12 = -23 -1r = -23 Divide each side by '-1'. r = 23 Simplifying r = 23
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