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Simplifying 3(x + -3) + -1r + 2x = 5(3x + -7) + -9x Reorder the terms: 3(-3 + x) + -1r + 2x = 5(3x + -7) + -9x (-3 * 3 + x * 3) + -1r + 2x = 5(3x + -7) + -9x (-9 + 3x) + -1r + 2x = 5(3x + -7) + -9x Reorder the terms: -9 + -1r + 3x + 2x = 5(3x + -7) + -9x Combine like terms: 3x + 2x = 5x -9 + -1r + 5x = 5(3x + -7) + -9x Reorder the terms: -9 + -1r + 5x = 5(-7 + 3x) + -9x -9 + -1r + 5x = (-7 * 5 + 3x * 5) + -9x -9 + -1r + 5x = (-35 + 15x) + -9x Combine like terms: 15x + -9x = 6x -9 + -1r + 5x = -35 + 6x Solving -9 + -1r + 5x = -35 + 6x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -1r + 9 + 5x = -35 + 9 + 6x Reorder the terms: -9 + 9 + -1r + 5x = -35 + 9 + 6x Combine like terms: -9 + 9 = 0 0 + -1r + 5x = -35 + 9 + 6x -1r + 5x = -35 + 9 + 6x Combine like terms: -35 + 9 = -26 -1r + 5x = -26 + 6x Add '-5x' to each side of the equation. -1r + 5x + -5x = -26 + 6x + -5x Combine like terms: 5x + -5x = 0 -1r + 0 = -26 + 6x + -5x -1r = -26 + 6x + -5x Combine like terms: 6x + -5x = 1x -1r = -26 + 1x Divide each side by '-1'. r = 26 + -1x Simplifying r = 26 + -1x
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