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Simplifying 12(-1n + -4) = 16(n + 1) Reorder the terms: 12(-4 + -1n) = 16(n + 1) (-4 * 12 + -1n * 12) = 16(n + 1) (-48 + -12n) = 16(n + 1) Reorder the terms: -48 + -12n = 16(1 + n) -48 + -12n = (1 * 16 + n * 16) -48 + -12n = (16 + 16n) Solving -48 + -12n = 16 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -48 + -12n + -16n = 16 + 16n + -16n Combine like terms: -12n + -16n = -28n -48 + -28n = 16 + 16n + -16n Combine like terms: 16n + -16n = 0 -48 + -28n = 16 + 0 -48 + -28n = 16 Add '48' to each side of the equation. -48 + 48 + -28n = 16 + 48 Combine like terms: -48 + 48 = 0 0 + -28n = 16 + 48 -28n = 16 + 48 Combine like terms: 16 + 48 = 64 -28n = 64 Divide each side by '-28'. n = -2.285714286 Simplifying n = -2.285714286
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