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Simplifying 12n + -3 = 8(n + -4) + 5n Reorder the terms: -3 + 12n = 8(n + -4) + 5n Reorder the terms: -3 + 12n = 8(-4 + n) + 5n -3 + 12n = (-4 * 8 + n * 8) + 5n -3 + 12n = (-32 + 8n) + 5n Combine like terms: 8n + 5n = 13n -3 + 12n = -32 + 13n Solving -3 + 12n = -32 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -3 + 12n + -13n = -32 + 13n + -13n Combine like terms: 12n + -13n = -1n -3 + -1n = -32 + 13n + -13n Combine like terms: 13n + -13n = 0 -3 + -1n = -32 + 0 -3 + -1n = -32 Add '3' to each side of the equation. -3 + 3 + -1n = -32 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = -32 + 3 -1n = -32 + 3 Combine like terms: -32 + 3 = -29 -1n = -29 Divide each side by '-1'. n = 29 Simplifying n = 29
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