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Simplifying -33 + -1n = 7(-2n + -1) Reorder the terms: -33 + -1n = 7(-1 + -2n) -33 + -1n = (-1 * 7 + -2n * 7) -33 + -1n = (-7 + -14n) Solving -33 + -1n = -7 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -33 + -1n + 14n = -7 + -14n + 14n Combine like terms: -1n + 14n = 13n -33 + 13n = -7 + -14n + 14n Combine like terms: -14n + 14n = 0 -33 + 13n = -7 + 0 -33 + 13n = -7 Add '33' to each side of the equation. -33 + 33 + 13n = -7 + 33 Combine like terms: -33 + 33 = 0 0 + 13n = -7 + 33 13n = -7 + 33 Combine like terms: -7 + 33 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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