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Simplifying 4(x + -3) + -1r + 2 = 5(3 + -7) + -9x Reorder the terms: 4(-3 + x) + -1r + 2 = 5(3 + -7) + -9x (-3 * 4 + x * 4) + -1r + 2 = 5(3 + -7) + -9x (-12 + 4x) + -1r + 2 = 5(3 + -7) + -9x Reorder the terms: -12 + 2 + -1r + 4x = 5(3 + -7) + -9x Combine like terms: -12 + 2 = -10 -10 + -1r + 4x = 5(3 + -7) + -9x Combine like terms: 3 + -7 = -4 -10 + -1r + 4x = 5(-4) + -9x Multiply 5 * -4 -10 + -1r + 4x = -20 + -9x Solving -10 + -1r + 4x = -20 + -9x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -1r + 10 + 4x = -20 + 10 + -9x Reorder the terms: -10 + 10 + -1r + 4x = -20 + 10 + -9x Combine like terms: -10 + 10 = 0 0 + -1r + 4x = -20 + 10 + -9x -1r + 4x = -20 + 10 + -9x Combine like terms: -20 + 10 = -10 -1r + 4x = -10 + -9x Add '-4x' to each side of the equation. -1r + 4x + -4x = -10 + -9x + -4x Combine like terms: 4x + -4x = 0 -1r + 0 = -10 + -9x + -4x -1r = -10 + -9x + -4x Combine like terms: -9x + -4x = -13x -1r = -10 + -13x Divide each side by '-1'. r = 10 + 13x Simplifying r = 10 + 13x
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