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Simplifying 4(x + -3) + -1r + 2x = 5(3x + -7) + -9 Reorder the terms: 4(-3 + x) + -1r + 2x = 5(3x + -7) + -9 (-3 * 4 + x * 4) + -1r + 2x = 5(3x + -7) + -9 (-12 + 4x) + -1r + 2x = 5(3x + -7) + -9 Reorder the terms: -12 + -1r + 4x + 2x = 5(3x + -7) + -9 Combine like terms: 4x + 2x = 6x -12 + -1r + 6x = 5(3x + -7) + -9 Reorder the terms: -12 + -1r + 6x = 5(-7 + 3x) + -9 -12 + -1r + 6x = (-7 * 5 + 3x * 5) + -9 -12 + -1r + 6x = (-35 + 15x) + -9 Reorder the terms: -12 + -1r + 6x = -35 + -9 + 15x Combine like terms: -35 + -9 = -44 -12 + -1r + 6x = -44 + 15x Solving -12 + -1r + 6x = -44 + 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 = -44 + 12 + 15x Reorder the terms: -12 + 12 + -1r + 6x = -44 + 12 + 15x Combine like terms: -12 + 12 = 0 0 + -1r + 6x = -44 + 12 + 15x -1r + 6x = -44 + 12 + 15x Combine like terms: -44 + 12 = -32 -1r + 6x = -32 + 15x Add '-6x' to each side of the equation. -1r + 6x + -6x = -32 + 15x + -6x Combine like terms: 6x + -6x = 0 -1r + 0 = -32 + 15x + -6x -1r = -32 + 15x + -6x Combine like terms: 15x + -6x = 9x -1r = -32 + 9x Divide each side by '-1'. r = 32 + -9x Simplifying r = 32 + -9x
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