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Simplifying 4(x + -3) + -1r + -2x = 5(3x + -7) + -9x Reorder the terms: 4(-3 + x) + -1r + -2x = 5(3x + -7) + -9x (-3 * 4 + x * 4) + -1r + -2x = 5(3x + -7) + -9x (-12 + 4x) + -1r + -2x = 5(3x + -7) + -9x Reorder the terms: -12 + -1r + 4x + -2x = 5(3x + -7) + -9x Combine like terms: 4x + -2x = 2x -12 + -1r + 2x = 5(3x + -7) + -9x Reorder the terms: -12 + -1r + 2x = 5(-7 + 3x) + -9x -12 + -1r + 2x = (-7 * 5 + 3x * 5) + -9x -12 + -1r + 2x = (-35 + 15x) + -9x Combine like terms: 15x + -9x = 6x -12 + -1r + 2x = -35 + 6x Solving -12 + -1r + 2x = -35 + 6x 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 + 2x = -35 + 12 + 6x Reorder the terms: -12 + 12 + -1r + 2x = -35 + 12 + 6x Combine like terms: -12 + 12 = 0 0 + -1r + 2x = -35 + 12 + 6x -1r + 2x = -35 + 12 + 6x Combine like terms: -35 + 12 = -23 -1r + 2x = -23 + 6x Add '-2x' to each side of the equation. -1r + 2x + -2x = -23 + 6x + -2x Combine like terms: 2x + -2x = 0 -1r + 0 = -23 + 6x + -2x -1r = -23 + 6x + -2x Combine like terms: 6x + -2x = 4x -1r = -23 + 4x Divide each side by '-1'. r = 23 + -4x Simplifying r = 23 + -4x
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