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Simplifying -12 + -1n = -1n + 4(5n + -8) Reorder the terms: -12 + -1n = -1n + 4(-8 + 5n) -12 + -1n = -1n + (-8 * 4 + 5n * 4) -12 + -1n = -1n + (-32 + 20n) Reorder the terms: -12 + -1n = -32 + -1n + 20n Combine like terms: -1n + 20n = 19n -12 + -1n = -32 + 19n Solving -12 + -1n = -32 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. -12 + -1n + -19n = -32 + 19n + -19n Combine like terms: -1n + -19n = -20n -12 + -20n = -32 + 19n + -19n Combine like terms: 19n + -19n = 0 -12 + -20n = -32 + 0 -12 + -20n = -32 Add '12' to each side of the equation. -12 + 12 + -20n = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -20n = -32 + 12 -20n = -32 + 12 Combine like terms: -32 + 12 = -20 -20n = -20 Divide each side by '-20'. n = 1 Simplifying n = 1
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