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Simplifying -32 + -5n = -3 + 6(5n + 1) Reorder the terms: -32 + -5n = -3 + 6(1 + 5n) -32 + -5n = -3 + (1 * 6 + 5n * 6) -32 + -5n = -3 + (6 + 30n) Combine like terms: -3 + 6 = 3 -32 + -5n = 3 + 30n Solving -32 + -5n = 3 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -32 + -5n + -30n = 3 + 30n + -30n Combine like terms: -5n + -30n = -35n -32 + -35n = 3 + 30n + -30n Combine like terms: 30n + -30n = 0 -32 + -35n = 3 + 0 -32 + -35n = 3 Add '32' to each side of the equation. -32 + 32 + -35n = 3 + 32 Combine like terms: -32 + 32 = 0 0 + -35n = 3 + 32 -35n = 3 + 32 Combine like terms: 3 + 32 = 35 -35n = 35 Divide each side by '-35'. n = -1 Simplifying n = -1
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