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Simplifying -16(n + 6) + 4(4n + 5) = -1n + (4n + 20) Reorder the terms: -16(6 + n) + 4(4n + 5) = -1n + (4n + 20) (6 * -16 + n * -16) + 4(4n + 5) = -1n + (4n + 20) (-96 + -16n) + 4(4n + 5) = -1n + (4n + 20) Reorder the terms: -96 + -16n + 4(5 + 4n) = -1n + (4n + 20) -96 + -16n + (5 * 4 + 4n * 4) = -1n + (4n + 20) -96 + -16n + (20 + 16n) = -1n + (4n + 20) Reorder the terms: -96 + 20 + -16n + 16n = -1n + (4n + 20) Combine like terms: -96 + 20 = -76 -76 + -16n + 16n = -1n + (4n + 20) Combine like terms: -16n + 16n = 0 -76 + 0 = -1n + (4n + 20) -76 = -1n + (4n + 20) Reorder the terms: -76 = -1n + (20 + 4n) Remove parenthesis around (20 + 4n) -76 = -1n + 20 + 4n Reorder the terms: -76 = 20 + -1n + 4n Combine like terms: -1n + 4n = 3n -76 = 20 + 3n Solving -76 = 20 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -76 + -3n = 20 + 3n + -3n Combine like terms: 3n + -3n = 0 -76 + -3n = 20 + 0 -76 + -3n = 20 Add '76' to each side of the equation. -76 + 76 + -3n = 20 + 76 Combine like terms: -76 + 76 = 0 0 + -3n = 20 + 76 -3n = 20 + 76 Combine like terms: 20 + 76 = 96 -3n = 96 Divide each side by '-3'. n = -32 Simplifying n = -32
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