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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 = 6x -12 + -1r + 6x = 5(3x + -7 + -9x) Reorder the terms: -12 + -1r + 6x = 5(-7 + 3x + -9x) Combine like terms: 3x + -9x = -6x -12 + -1r + 6x = 5(-7 + -6x) -12 + -1r + 6x = (-7 * 5 + -6x * 5) -12 + -1r + 6x = (-35 + -30x) Solving -12 + -1r + 6x = -35 + -30x 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 + -30x Reorder the terms: -12 + 12 + -1r + 6x = -35 + 12 + -30x Combine like terms: -12 + 12 = 0 0 + -1r + 6x = -35 + 12 + -30x -1r + 6x = -35 + 12 + -30x Combine like terms: -35 + 12 = -23 -1r + 6x = -23 + -30x Add '-6x' to each side of the equation. -1r + 6x + -6x = -23 + -30x + -6x Combine like terms: 6x + -6x = 0 -1r + 0 = -23 + -30x + -6x -1r = -23 + -30x + -6x Combine like terms: -30x + -6x = -36x -1r = -23 + -36x Divide each side by '-1'. r = 23 + 36x Simplifying r = 23 + 36x
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